On Powell-Eyring hybridity nanofluidic flow based Carboxy-Methyl-Cellulose (CMC) with solar thermal radiation: A quadratic regression estimation

• Impact of various nanoparticles’ radii on unsteady mixed convective copper-water nanofluid flow over expanding sheet in porous medium having boundary slip is analyzed. • The rise of flow velocity with larger radius of nanoparticles is witnessed. • Unsteadiness of flow, less permeability of porous material and boundary slip causes velocity drops. • Wall-drag force magnitude enlarges with higher radius of nanoparticles and this augmentation is more in porous medium with less permeability. • Surface cooling rate intensifies slowly with bigger value of nanoparticle's radius and flow unsteadiness. Nanofluid and its higher thermal performance are displayed more promising outcomes when the flow medium is assumed to be a porous medium. Additionally, the radius size of nanoparticles plays a significant role in enhancing this thermal performance. So, present analysis aims to investigate the time-dependent flow of copper-water nanofluid in porous medium on an expanding sheet in presence of buoyancy force and slip phenomenon under various nanoparticle's radii. The flow is assumed to be boundary layer, two-dimensional, viscous, incompressible, laminar and unsteady. Governing coupled PDEs are changed into ODEs by suitable transformations and the converted ODEs are solved numerically. The study discloses that velocity rises with larger radius of nanoparticles and enlargement in assisting buoyancy force, whereas with unsteadiness of the flow, less permeability of porous material and boundary slip it drops. Also, magnitude of wall-drag force grows with larger radius of nanoparticles and flow unsteadiness. Importantly, for higher value of nanoparticle's radius surface-drag force massively enhances when permeability of porous medium is less. Temperature increment exhibits for boundary slip and less permeability of the porous material. Lastly, wall cooling rate intensifies with flow unsteadiness and higher value of nanoparticle's radius. 

Nanoparticle's radius effect on unsteady mixed convective copper-water nanofluid flow over an expanding sheet in porous medium with boundary slip

A study on cylindrical moving boundary problem with variable thermal conductivity and convection under the most realistic boundary conditions

Convection analysis of the radiative nanofluid flow through porous media over a stretching surface with inclined magnetic field

The nanoparticles have substantial uses in the treatment of several diseases and in drug delivery systems and the nanoparticles are injected in the base fluid which is transported in the cardiovascular system on the mechanism of peristalsis. This study highlights the Casson hybrid nanofluid thermal inspection with blood base fluid. The copper and iron oxide nanoparticles are used to assess the hybrid nanofluid characteristics. The conduit for the present analysis is considered non-uniform complex wavy and curved. The base fluid is considered as a Casson fluid which reports the shear thinning and thickening consequences of blood base liquid. The fundamental conservation laws are utilized to model the flow problem and simplified under the assumption of long wavelength and creeping transport. The shooting method is used to compute the different flow and heat transfer characteristics The impact of various interesting parameters is examined graphically. 

Thermal performance of iron oxide and copper (Fe3O4, Cu) in hybrid nanofluid flow of Casson material with Hall current via complex wavy channel

Time-dependent, two-dimensional (2D) magnetohydrodynamic (MHD) micropolar nanomaterial flow over a shrinking/stretching surface near the stagnant point is considered. Mass and heat transfer characteristics are incorporated in the problem. A model of the partial differential expressions is altered into the forms of the ordinary differential equations via similarity transformations. The obtained equations are numerically solved by a shooting scheme in the MAPLE software. Dual solutions are observed at different values of the specified physical parameters. The stability of first and second solutions is examined through the stability analysis process. This analysis interprets that the first solution is stabilized and physically feasible while the second one is un-stable and not feasible. Furthermore, the natures of various physical factors on the drag force, skin-friction factor, and rate of mass and heat transfer are determined and interpreted. The micropolar nanofluid velocity declines with a rise in the suction and magnetic parameters, whereas it increases by increasing the unsteadiness parameter. The temperature of the micropolar nanofluid rises with increase in the Brownian motion, radiation, thermophoresis, unsteady and magnetic parameters, but it decreases against an increment in the thermal slip constraint and Prandtl number. The concentration of nanoparticles reduces against the augmented Schmidt number and Brownian movement values but rises for incremented thermophoresis parameter values.

Dual solutions of time-dependent magnetohydrodynamic stagnation point boundary layer micropolar nanofluid flow over shrinking/stretching surface

In this paper, the radiation and slip effects are investigated on the boundary layer flow and heat transfer of Fe2O3 and Fe-water base nanofluids over a porous stretching/shrinking sheet. A similarity transformation is used to convert the system of governing partial differential equations into ordinary differential equations, which are then numerically solved in Maple software with the help of the shooting technique. At different ranges of the applied parameters, dual solutions are found. The effects of the different physical factors such as radiation, nanoparticle volumetric fractions, suction, and slip parameters are determined and discussed. The skin-friction coefficient and local Nusselt number are influenced significantly by the applied parameters. In the boundary layer regime, the increase in nanoparticle volume fractions and radiation parameters enhance the temperature and boundary-layer thicknesses, while increasing Prandtl number, suction, and thermal slip parameters decrease the temperature and reduce thermal boundary-layer thicknesses. The suspension of iron nanoparticles shows more enhancement in skin friction and Nusselt number than the iron oxide nanoparticles in base fluid water.

Stability Analysis of Boundary Layer Flow and Heat Transfer of Fe2O3 and Fe-Water Base Nanofluid οver a Stretching/Shrinking Sheet with Radiation Effect

The two-dimensional laminar boundary layer flow and heat characteristics of silver (Ag) water based nanofluid with buoyancy effect over porous shrinking/stretching sheet has been considered. The shooting technique is used for numerical solutions to address the considered physical flow parameters. The numerical investigation shows that the triple solutions exists at the distinct ranges of parameters. Therefore, the analysis of stability is carried out to explore the reliability of solutions. The important results related to the stable solutions indicate that the skin friction declines for λ>0 and enhances for λ<0 when suction, and nanoparticles volume fractions are enhanced. An increase in rate of suction decreases velocity and the temperature profiles. Besides, an increase in silver nanoparticles volume fraction increases velocity and the temperature profiles, respectively. An augmentation in thermal slip factor reduced the temperature. The decrement in heat sink/source constraint resulted the lower temperature. 

Analysis of triple solutions in mixed convection flow and heat transfer characteristics of Ag-water based nanofluid over porous shrinking/stretching sheet

This paper deals with two-dimensional steady boundary layer flow, heat, and mass transfer characteristics of micropolar nanofluid past on exponentially stretching/shrinking surface. The effect of different physical parameters like magnetic field, buoyancy, thermal radiation, and connective heat transfer are examined. Furthermore, similarity solutions are obtained by similarity transformation on the governing system of partial differential equations. The shooting method with help of the Maple software is used to achieve the numerical solutions of the equations. For the different ranges of the applied parameters, triple solutions are obtained for both cases of the surface. In view of the triple solutions, stability analysis is performed by bvp4c in the MATLAB software, where only first solution is found feasible which is discussed. The main findings of the first solution indicate the skin friction, drag force, heat, and mass transfer rates are increasing for the 
 
 λ
 >
 0
 
 and decreasing for 
 
 λ
 <
 0
 
 as the 
 
 K
 
 is enhanced. The velocity profiles decrease with increase in magnetic, slip velocity, and suction parameters. The temperature profiles increase with increase in magnetic, thermophoresis, thermal radiation, and Brownian motion parameters, whereas concentration profiles reduce with increase in Schmitt number and Brownian motion.

Triple Solutions with Stability Analysis of MHD Mixed Convection Flow of Micropolar Nanofluid with Radiation Effect

The heat transfer of Fe3O4-water base nanofluid past on an exponential porous shrinking/stretching surface is investigated. Tiwari-Das model has been followed to modify the system of equations of considered problem. Mixed convection, slips and the radiative influences are incorporated in equations. The problem is tackled by using shooting method through maple software. The important findings indicate the Nusselt number increases for both cases of λ as suction is increased. The skin friction decreases for stretching and increases for shrinking case. The rise in thermal slip and Prandtl number reduce the temperature profiles. 

H. B. Lanjwani

Papers

Dual solutions of time-dependent magnetohydrodynamic stagnation point boundary layer micropolar nanofluid flow over shrinking/stretching surface

Stability Analysis of Boundary Layer Flow and Heat Transfer of Fe2O3 and Fe-Water Base Nanofluid οver a Stretching/Shrinking Sheet with Radiation Effect

Analysis of triple solutions in mixed convection flow and heat transfer characteristics of Ag-water based nanofluid over porous shrinking/stretching sheet

Triple Solutions with Stability Analysis of MHD Mixed Convection Flow of Micropolar Nanofluid with Radiation Effect

Numerical investigation of magnetized thermally radiative Fe3O4-Water base nanofluid