Showing papers in "Waves in Random and Complex Media in 2022"

Dynamism of a hybrid Casson nanofluid with laser radiation and chemical reaction through sinusoidal channels

Abstract: This article studies the impact of laser radiation and chemical reaction with electromagnetic field and electroosmotic flow of hybrid non-Newtonian fluid via a sinusoidal channel. A mathematical model is used to simulate the arisen non-linear partial differential equations (PDEs). By employing the suitable transformations, the system of PDEs is then transformed to a non-linear system of ordinary differential equations (ODEs). The impact of the pertinent parameters on the pressure rise, velocity profile, streamlines and temperature distribution has been discussed. It has been noticed that the laser parameter enhances the fluid flow and the temperature distribution. This result occurs due to the impact of laser radiation that decreases the blood viscosity which in turn implies an increase in the fluid velocity leading to an enhancement in the heat transfer inside the fluid layers. The technique of laser radiation plays an important role in treating many viral and autoimmune diseases. The current study of radiation has the intention to help inhibit bacterial growth, increase oxygen binding to the blood, transport oxygen to organs and activate white blood cells.

Numerical investigation of EMHD nanofluid flows over a convectively heated riga pattern positioned horizontally in a Darcy-Forchheimer porous medium: application of passive control strategy and generalized transfer laws

Abstract: This investigation provides a numerical analysis of electro-magneto-hydrodynamic (EMHD) nanofluid flows past a Riga pattern embedded horizontally in a Darcy-Forchheimer porous medium. An advanced Buongiorno's nanofluid approach is linked physically with Cattaneo-Christov’s physical point of view and generalized Fick's law to formulate a more realistic non-homogeneous flow model, in which the convective heating and zero mass flux are chosen as suitable boundary conditions. In the framework of the boundary layer approximations, the governing partial differential equations (PDEs) are converted into ordinary differential equations (ODEs) via suitable similarity transformations, which are solved thereafter using a robust numerical procedure. Indeed, the adopted conservative laws describe reliably the foremost features of EMHD convective nanofluid flows, in which Darcy-Forchheimer's porous forces show a noticeable impact on the momentum boundary layer at a large scale. Besides, it is remarked that Darcy-Forchheimer's and Lorentz's forces strengthen the resulting frictional factor at the Riga surface. Furthermore, a significant enhancement in the wall heat transfer rate can be achieved practically by adjusting adequately the convective heating process and the electromagnetic planar support.

Entropy optimized assisting and opposing non-linear radiative flow of hybrid nanofluid

Abstract: A numerical treatment on flow and heat transfer of radiative hybrid nanofluid comprising of Al2O3 and Cu nanoparticles and water as base fluid past an isothermal stretched cylinder set in a porous medium is conducted. The Al2O3 - Cu/water hybrid nanofluid has higher thermal conductivity than single Al2O3 and Cu and better heat transfer efficiency with low concentration. Therefore, practical applications of hybrid nanofluids in heat transfer systems such as solar collectors, heat pipes, heat exchangers, mini channel heat sink, and others could have a significant impact for its better chemical stability, mechanical resistance, physical strength, and augmented thermal conductivity. Both assisting and opposing flows are taken into consideration. Entropy optimization analysis is explored elaborately. Having transformed into non dimensional form through use of similarity variables, governing equations are solved by bvp4c solver in Matlab software. The outcomes of the numerical solution are that inclusion of more and more porous matrix whittles down non-linear radiative flow of Al2O3 - Cu/water hybrid nanofluid, and growth of curvature parameter peters out drag coefficient and heat transfer rate under influence of assisting and opposing flows. Besides, entropy generation rate is significantly higher for Al2O3 - Cu/water hybrid nanofluid than individual Al2O3 - water nanofluid or Cu - water nanofluid in both assisting and opposing flows.

Theoretical analysis of electrical double layer effects on the multiphase flow of Jeffrey fluid through a divergent channel with lubricated walls

Abstract: A theoretical study of two-phase non-Newtonian fluid with heat transfer is presented in this article. Jeffrey fluid model is used as the base liquid to form a multiphase suspension with the help of gold particles. Heating effects have also been applied on an electro-osmotic two-phase flow through a divergent channel. The lubrication effects have been applied to dampen the skin friction of the opposite walls. An analytical solution is obtained for the nonlinear multiphase fluid flow with heat transfer. Separate expressions for the volumetric flow rate of two-phase flow and pressure gradient are determined via a complex mathematical manipulation. A concise parametric study reveals that slippery walls of the channel have a prominent influence on the momentum of both phases.

An exact solution of a Casson fluid flow induced by dust particles with hybrid nanofluid over a stretching sheet subject to Lorentz forces

Abstract: The concept of a hybrid nanofluid has piqued the interest of numerous researchers due to its potential for increased thermal properties, which results in high transfer rates. Hybrid nanofluids are used in heat transport systems such as electronic cooling, and applications in biomedical and pharmaceutical relief. Thus, the present paper inspects the impact of Lorentz forces on the Casson fluid flow of water-based Fe3O4-MWCNT hybrid nanofluid induced by dust particles from a stretching sheet. The leading PDEs are changed into ODEs by employing similarity variables and then achieving an exact solution for these transformed ODEs. The impacts of distinct physical constraints including fluid interaction particle parameter, Casson parameter, and magnetic parameter on the dust velocity and fluid velocity for normal nanofluid (Fe3O4/H2O) and hybrid nanofluid (Fe3O4-MWCNT/ H2O) are addressed in detail. The present analytic solution shows a strong correlation with earlier published numerical studies in limited cases.

Design and fabrication of multiband reconfigurable copper and liquid multiple complementary split-ring resonator based patch antenna

Abstract: The paper presents a multiband frequency reconfigurable microstrip patch antenna structure loaded by copper-based and water liquid-based superstrate resonators. The frequency tunability is achieved by three PIN diodes with the highest tunability of 320 MHz. The enhancement of gain is attained by the concept of superstrates in which the periodic structure implemented by copper-based and liquid-based split-ring resonators is considered for performance analysis. By loading the patch with the three copper-based and liquid-based split-ring resonators (SRR), the presented design achieves the maximum broadside directivities of 7.70 dB and 5.31 dB, and provides the maximum tunable frequency bandwidths of 250 MHz and 140 MHz, respectively. Out of all the configurations the copper-loaded three SRRs provide the peak gain of 9.11 dB. Comparison between simulated (by HFSS tool) and fabricated structures (using low profile material FR-4) is carried out in the frequency range from 6 MHz to 14 GHz for verification. The presented design opens a new way for achieving the different wireless communication applications such as satellite, aeronautical radio navigation, X-band synthetic aperture radar (SAR), etc.

Numerical simulation of Marangoni Maxwell nanofluid flow with Arrhenius activation energy and entropy anatomization over a rotating disk

Abstract: The nanofluid flow under the consequences of Brownian motion, thermophoresis, and nonlinear radiation has been numerically studied over a heated rotating disc. Arrhenius activation energy is used to describe the various aspects of heat and mass transition. The problem has been modeled in the form of a system of PDEs consist of the Maxwell and Navier Stokes equations. The system of modeled equations has been reduced to the ordinary system of dimensionless differential equations using a similarity framework. For the problem's quantitative approximation, the results have been obtained through numerical technique boundary value solver (bvp4c). The physical quantities that derive from the modeled equations are displayed and addressed. It has been perceived that the Prandtl number and radiation effect improves the heat transmission rate while improving the magnetic parameter reduces the velocity field. Furthermore, the entropy rate and Bejan number increases with the rising effect of chemical reaction, temperature differential variable, concentration ratio variable and Schmidt number.

Numerical investigation of thin-film flow over a rotating disk subject to the heat source and nonlinear radiation: Lobatto IIIA approach

Abstract: The analysis of thin liquid film over a horizontal rotating disk has attained fabulous attention in the field of the coating industry. Therefore, the present study aims to communicate the nature of the thin-film flow of Maxwell magnetized nanomaterials over the surface of the rotating disk. The important aspects of nano liquid known as the Brownian motion and thermophoresis are considered. This liquid film is explored under the influence of a heat source/sink. Dimensionless variables have been implemented to acquire the nonlinear system of ODEs. The obtained system has been tackled numerically via Lobatto IIIA technique for the variation of unsteadiness parameter ranging from 0.3 to 0.45, thin-film thickness parameter ranging 2.20–2.35, rotation parameter ranging 0.7–1.0, magnetic parameter ranging 4.0–7.0, Prandtl number ranging 1.3–1.6, and radiation parameter ranging 0.5–0.8. The outcomes for the flow problem have been estimated against various embedding variables. In addition, tables are made for sundry cases of different scenarios, mesh points, maximum residual errors, Nusselt and Sherwood numbers. Analysis elaborates that an increase in rotation parameter causes a reduction in the azimuthal component of velocity while the temperature is enhancing the function of the radiation parameter.

Bioconvective magnetized oldroyd-B nanofluid flow in the presence of Joule heating with gyrotactic microorganisms

Abstract: A nanofluid is a fluid containing particles with less than a nanometer diameter. These particles are referred to as nanoparticles dispersed in a base fluid. The viscoelastic Oldroyd-B nanofluid flow past a vertical stretching sheet with swimming gyrotactic microorganisms is investigated in this present analysis. Lorentz force characteristics are considered because the magnetic field is applied normally to the sheet. Viscous dissipation, Joule heating, and chemical reaction are combined inside the system. The resulting equations are converted into the dimensionless form using similar improvement and then explained by the bvp4c procedure. The effect of associated parameters on velocity, temperature, motile density profiles, and nanoparticle volume fraction has been reflected through physical justification over tables and graphs. Statistical analysis is applied to disclose the association of parameters with the physical characters. The temperature rises due to managing relaxing time in the current investigation. When the chemical destructive response rate increases, a constructive chemical reaction increases species concentration considerably; however, the species concentration drops when the reaction rate increases. The current and potential applications of bioconvection renewed the drive for theoretical research on synthesis and process control in biofuel cells and bioreactors.

Significance of Darcy-Forchheimer and Lorentz forces on radiative alumina-water nanofluid flows over a slippery curved geometry under multiple convective constraints: a renovated Buongiorno’s model with validated thermophysical correlations

Abstract: Critical point of view on the dynamics of water conveying chemically reactive alumina nanoparticles around a slippery curved geometry (e.g. hemisphere) due to the linear stretching motion of the irregular boundary is inconclusive based on the fact that nothing is known on probable results when increasing the strength of the main embedded factors, like the nanoparticles’ loading, the curvature geometry index, the magnetic field, the nonlinear porosity of the medium, and the activation energy, in the case where the convective heating, the convective mass transport, and the velocity slip are imposed as boundary conditions. For a better description of the flow problem, Buongiorno’s and Koo-Kleinstreuer-Li’s approaches were adopted as realistic nanofluid models since the thermo-rheological features of alumina-water nanofluids are complex functions of many nanometric phenomena (e.g. Brownian motion, thermophoresis, and thermal resistance). Further, the nonlinear system of the governing partial differential equations (PDEs) that models the transport phenomenon was reduced mathematically to a system of ordinary differential equations (ODEs). To achieve convergent solutions, the obtained system of ODEs was solved numerically using irregular generalized differential quadrature schemes along with an efficient Newton–Raphson package. Based on the results of this analysis, it is worth concluding that the nanofluid motion is observed to be decelerated when the magnitudes of slip parameter and drag forces have increased, whereas an enhancing trend like for the thermal Biot number is witnessed for the temperature throughout the medium.

The epidemic COVID-19 model via Caputo–Fabrizio fractional operator

Abstract: In this article, we analyze and identify the optimum values for a deeper sense of the mathematical model of the COVID-19 epidemic from the reservoir to humans by using a powerful fractional homotopy perturbation transform method with Caputo–Fabrizio fractional derivative. We receive simulations of this propagation under high parameters. Although the results show the efficacy of the theoretic framework considered for the governing structure. The obtained results also provide lighting on the dynamic behavior of the COVID-19 model. We gave a few numerical approximations to explain the efficiency of the proposed method for various values of fractional order, which correspond to the process. Finally, we graphically demonstrate the obtained outcome. [ FROM AUTHOR] Copyright of Waves in Random & Complex Media is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full . (Copyright applies to all s.)

Thermal efficiency in hybrid (Al2O3-CuO/H2O) and ternary hybrid nanofluids (Al2O3-CuO-Cu/H2O) by considering the novel effects of imposed magnetic field and convective heat condition

Abstract: Comparative heat transfer analysis in conventional (Al2O3-CuO/H2O)hnf and modified hybrid nanofluid known as ternary hybrid nanofluid (Al2O3-CuO-Cu/H2O)mhnf is one of the potential topics of interest and is the demand of modern technological world to cope with the heat transfer problems faced by the industrialists and engineers. Therefore, the study is organized for hybrid and tri-hybrid nanofluids for their thermal storage. To improve thermal energy storage in the above-mentioned fluids, novel effects of a uniform magnetic field, convective heat transfer mode, and newly developed empirical correlations are used to synthesize tri-hybrid nanofluids. The comparative analysis under various physical constraints reveals that tri-hybrid nanoliquids have ultra-high thermal efficiency than conventional nanoliquids. Therefore, these fluids are very beneficial for industrial uses more specifically for purification purposes or where ultra-high heat transfer is required to accomplish the process.

Heat and mass transfer analysis of radiative fluid flow under the influence of uniform horizontal magnetic field and thermophoretic particle deposition

Abstract: A magnetic field is frequently employed to stabilize the flow field in real-world applications of fluid mechanics difficulties. The current study examines the effect of thermophoretic particle deposition on liquid flow across a rotating disk. In this study, a horizontal uniform magnetic field is used to regularize the flow field formed by a rotating disk. The horizontal magnetic field that is applied is not the same as the external upright magnetic field. In addition, the energy equation is investigated when exposed to thermal radiation. Using the conventional von Kármán similarity transformations, it is shown that a horizontal magnetic field leads to a similarity system of equations. Using proper transformations, the modeling equations are translated into ordinary differential equations (ODEs). Later, using the shooting technique and the Runge–Kutta–Fehlberg's–fourth–fifth order approach (RKF-45), the obtained system is numerically solved. The obtained numerical findings are then graphically shown and discussed in depth. The results reveal that, the rise in values of magnetic parameter declines the both axial and radial velocity profiles. The rise in values of thermophoretic parameter and thermophoretic coefficient decays the mass transport.

A numerical approach to interpret melting and activation energy phenomenon on the magnetized transient flow of Prandtl–Eyring fluid with the application of Cattaneo–Christov theory

Abstract: The current study explores the Impact of activation energy and melting heat transfer on unsteady Prandtl–Eyring model with variable thermal conductivity induced by a stretched cylinder. The Cattaneo–Christov double diffusion theory is used to study heat and mass transfer phenomena. The foremost coupled partial differential equations (PDEs) of the time-dependent Prandtl–Eyring model is transformed to ordinary ones using appropriate local similarity variables. The deduced system is numerically solved using the shooting iterative technique. The characteristics of key flow parameters against fluid concentration, temperature, velocity, skin friction, Sherwood and local Nusselt numbers are examined graphically with justified physical consequences. The comparison with the previously published work showed a fabulous agreement. This investigation presented that the velocity and concentration of fluid are increased by enhancing melting and curvature parameters, while the fluid temperature is diminished due to the impacts of melting and curvature parameters. By raising reaction rate constant, melting, thermal relaxation time, and temperature difference parameters, the fluid temperature is enhanced while the fluid temperature declines with thermal conductivity, activation energy, and unsteadiness parameters. Furthermore, the unsteadiness and activation energy parameters cause a rise in the concentration of a fluid.

Heat transfer inspection in [(ZnO-MWCNTs)/water-EG(50:50)]hnf with thermal radiation ray and convective condition over a Riga surface

Abstract: The composition of hybrid nanoparticles in the base solvent is a way to improve the thermal efficiency of regular liquids which makes them more effective to cope with the heat transport problems faced by the modern technological world. Enhanced heat transfer in hybrid nanofluids opened the barrier towards applied thermal engineering, mechanical and chemical engineering regarding heat transfer. Therefore, this research is conducted to examine the improved thermal efficiency of [(ZnO-MWCNTs)/water-EG (50:50)]hnf and [(ZnO)/water-EG (50:50)]nf over a Riga surface; similarity transforms and hybrid nanoliquid correlations exercised to achieve the model. The constitutive model was modified by inducing thermal radiation effects and convective heat conditions. A numerical scheme is utilized as a mathematical tool and furnished the results for velocity gradient, thermal behavior and shear stresses under the physical constraints that appeared during the research. The results exposed that induction of novel thermal radiations (Rd) is a prime source to improve heat capability of [(ZnO-MWCNTs)/water-EG(50:50)]hnf. Further, an outstanding improvement in the temperature of [(ZnO-MWCNTs)/water-EG(50:50)]hnf was achieved due to convective heat conditions. As Bi number (due to the convectively heated surface) involves thermal conductivity of the surface materials, extra heat transferred from the surface material to the fluid which significantly contributed to the heat transfer mechanism of [(ZnO-MWCNTs)/water-EG(50:50)]hnf.

Thermodynamic activity of a ternary nanofluid flow passing through a permeable slipped surface with heat source and sink

Abstract: Interaction of nanoparticles with fluids is receiving considerable interest in the area of nanotechnology research. The purpose of this research is to see how a ternary nanofluid performs over a slippery surface. The energy equation is used to explain the heat source/sink effect. As a novel feature of the article, suction, slip effect, and convective boundary conditions are incorporated at the wall. The physical flow problem is formulated using boundary layer equations, which are then transformed into dimensionless forms by employing appropriate variables. Using the RKF-45 approach and the shooting operation, numerical solutions of transmuted equations are obtained. The proposed framework was validated against the available data and found to be relatively accurate. Investigation confesses that enhanced values of the suction parameter decelerate the temperature, whereas slip, Biot number and heat source/sink parameter accelerate the temperature. Further, ternary nanofluid shows a high rate of thermal distribution than hybrid and mano nanofluid. These results reflect a diverse range of practical applications, such as transportation cooling, petroleum resource recovery, wastewater disposal, thermal insulation, and geothermal systems.

Effect of thermal radiation on heat transfer in plane wall jet flow of Casson nanofluid with suction subject to a slip boundary condition

Abstract: A Glauert type laminar wall jet issuing into a stationary liquid medium lying above a wall has technical uses in wall cooling and flow control. It plays a vital role in industrial applications like cooling/heating by impingement of jet, turbine blades, film cooling, mass and heat transfer phenomena. In this regard, a steady incompressible two-dimensional laminar Glauert kind wall jet is scrutinized in this study by considering nanoparticles suspension in the base liquid sodium alginate (NaAlg) with suction and wall slip boundary conditions. Further, a comparative study is done by considering aluminum alloy(AA7075) and single-walled carbon nanotube (SWCNT) as nanoparticles. The reduced ordinary differential equations (ODEs) are numerically solved by applying Runge–Kutta–Fehlberg fourth fifth-order (RKF-45) technique along with the shooting method. Results reveal that NaAlg−SWCNT Casson nanofluid shows enhanced heat transfer than NaAlg−AA7075 Casson nanoliquid for increased values of radiation parameter. The rising values of the Casson parameter deteriorate the heat transfer rate of both nanoliquids but an inverse trend is seen for improved values of radiation parameter.

Magnetic dipole aspect of binary chemical reactive Cross nanofluid and heat transport over composite cylindrical panels

Abstract: Heat transport in magnetohydrodynamic (MHD) flow has given huge contribution in the field of engineering and biological systems like material selection, machinery efficiency, reaction kinetics, bio preservation, cryosurgery, heat, or cold treatments to destroy tumors, and treatment of several diseases by controlling the physical parameters. This research inquires the heat transport inMHDCross nanofluid via thermal conductivity with presence of Brownian motion, thermophoresis, and binary chemical reaction in cylindrical coordinates. Velocity of nanofluid is observed through imposed perpendicular magnetic dipole field and behavior concentration is depicted by activation energy (AE). Judgment of physical quantities is made through statistical graphs for nearly all involved parameters. Cross fluid model fetches the partial differential equations (PDEs) from Navier Stokes equation and the well-known shooting technique converted PDEs into ordinary differential equations. Further, for numerical solutions of obtained ODEs are passed through Matlab scheme bvp4c.

Numerical investigation of hybrid nanofluid with gyrotactic microorganism and multiple slip conditions through a porous rotating disk

Abstract: The current mathematical configuration mainly focuses on the boundary layer flow of hybrid nanofluid with gyrotactic microorganisms and porous medium across the rotating disk. The heat and mass transport evaluation is done with double diffusion theory, Joule heating effect, and chemical reaction. The surface of the disk experiences multiple slip boundary conditions. The two nanoparticles, Ag and MgO, are mixed into water to form a hybrid solution. The flow model is transferred into self-similar nonlinear ODEs with appropriative transformation. These nonlinear ODEs are numerically explained using the BVP4C MATLAB approach. The physical quantities are also discussed withthe tabulated data, and the assessment is done with previous research. It is worth noting that higher values of solid volume fraction improved the velocity field and the temperature of the fluid . Stronger estimation of porosity parameter and inertia coefficient decline the velocity distribution.

Entropy generation and nonlinear thermal radiation analysis on axisymmetric MHD Ellis nanofluid over a horizontally permeable stretching cylinder

Abstract: This article aims to investigate the formation of entropy and its effects on Ellis nanofluid flow through a horizontally porous stretching cylinder. To manage the heat transfer rate the magnetic field, non-linear thermal radiations, and joule heating have all been explored. On Ellis nanofluid motion, the importance of nanofluid parameters, Brownian, and thermophoresis diffusions is investigated. The fundamental equations are transformed into a nonlinear system of ODEs by using suitable similarity transformations and numerically resolved by Matlab technique bcp4c. Graphs are used to study the impact of key parameters of velocity, Bejan number, temperature, entropy production, and concentration profiles. We also use tables to assess the impact of various characteristics on skin friction, Nusselt number, and Sherwood number.

On wave propagation in piezoelectric-auxetic honeycomb-2D-FGM micro-sandwich beams based on modified couple stress and refined zigzag theories

Abstract: In the present paper, wave propagation of micro-sandwich beams is investigated. The sandwich beam is consisted of the core, top, and bottom layers which are corresponding to auxetic honeycomb, piezoelectric, and Two-Dimensional Functionally Graded Material (2D-FGM), respectively. The material properties of the 2D-FGM layer differ in both thickness and axial directions. The structure is under the electric field with respect to the existence of piezoelectric material. Giving the hypothesis of modified couple stress theory (MCST) for size effects and the refined zigzag theory (RZT) for mathematical modeling, the equations of motion are gained based on Hamilton’s principle. The wave velocity, escaping frequency, and cut-off frequency of the structure are computed through the analytical method. The influences of different components (e.g. geometric parameters, electric field, auxetic honeycombs core, electric field, size parameter, and gradient index) of 2D-FGM layer on the wave velocity of the micro-sandwich beam are evaluated. The results illustrate that the wave velocity which is calculated by the modified couple stress theory increases by about 2.5 times than that in classic theory. Moreover, the phase velocity increases as the geometrical components of auxetic honeycombs core are enhanced.

Effect of thermal radiation on heat transfer and entropy generation analysis of MHD hybrid nanofluid inside a square cavity

Abstract: Hybrid nanofluid prepared with silver particles, single-walled carbon nanotubes as nanoparticles and water as common fluid entropy generation, flow and heat transport features within the closed chamber by captivating radiation and magnetic field is numerically investigated in this analysis. The resulting dimensionless equations are numerically evaluated by utilizing finite element method. The variations in the scatterings of isotherms, streamlines and entropy generation with diverse values of radiation parameter (0.01≤R≤0.1), volume fraction of parameter of silver nanoparticles (0.01≤ϕ2≤0.1) Prandtl number (5.2≤Pr≤8.2), Rayleigh number (103≤Ra≤104), volume fraction of parameter of single-walled carbon nanotubes (0.01≤ϕ1≤0.1) and magnetic parameter (0.1≤M≤0.7) have scrutinized which are schemed through graphs. The sketches of Nusselt number with respect to these parameters are also portrayed through plots. The outcomes of this investigation indicates that temperature gradient of single-walled carbon nanotubes is higher than the silver nanoparticles. Rate of heat transfer augments from 6.2% to 15.6% in the case single-walled carbon nanotubes of volume fraction 0.05 are suspending into the base fluid, whereas, heat transfer rate rises from 6.2% to 10.4% in the case of silver nanoparticles of volume fraction 0.05 are suspending into the base fluid.

Transient bioconvection and activation energy impacts on Casson nanofluid with gyrotactic microorganisms and nonlinear radiation

Abstract: Novel applications of bioconvection and activation energy in the progress of Casson nanomaterials with gyrotactic microorganisms involve mechanical energy, bioinformatics, biotechnology, engineering, and biosensors captivated the attraction of scientists and investigators. The prime focus of the present communication is to devise new mathematical modeling for unsteady bioconvection flow of chemically reactive Casson nanoliquid with nonlinear radiation and gyrotactic microorganisms for axisymmetric flow case. Furthermore, activation energy and viscous dissipation ramifications are accounted. A revised nanofluid model is deployed to perceive flow dynamics in nanomaterials. Fundamental PDEs of the presumed study are developed with boundary layer conjecture and then reorganized into coupled ODEs by employing appropriate transformation. Numerical solutions of considered appraisal are derived via Fehlberg (RK45) shooting. Numerical simulations of the density number of microorganisms, mass transfer rate, Nusselt number, and surface drag force are executed. For the justification of the presumed investigation, a comparison with the published study is conducted and divulged in a great agreement. It is fascinating that microorganism density number is deprecated for higher approximation of Peclet number and microorganism difference parameter.

Inspections of unsteady micropolar nanofluid model over exponentially stretching curved surface with chemical reaction

Abstract: The present study considers heat transfer analysis of micropolar nanofluid flow over an exponentially stretching curved surface. The effects of Brownian motion and thermophoresis on the micropolar fluid at exponentially stretching curved surfaces are considered. The chemical reaction and slip effects are analyzed at exponentially stretching curved surface. Using boundary layer approximations, the mathematical model under the flow assumptions is developed in partial differential equations. The partial differential equations are transformed into ordinary differential equations using the dimensionless similarity variables. The dimensionless system is solved through numerical technique. The involving physical parameter effects are presented through graphs and tables. The f′(η) is enhanced due to rising the values of the curvature parameter. If the curvature is increasing, the bending of the sheet is more which enhances the motion of the fluid particles due to the action of centrifugal force. The Schmidt number enhances which reduces the concentration profile because Sc is directly proportional to the momentum diffusivity and inversely proportional to the mass diffusivity, and consequently, greater the values of Sc conformed to the small mass diffusivity which declines the concentration function.