This work analyzes the two-dimensional flow of an incompressible magneto-hydrodynamic fluid over linear stretching sheet in the presence of suction or injection and convective boundary conditions. A scaling group transformation method is applied to the flow governing equations. The system remains invariant due to the relation between the transformation parameters. Upon finding three absolute invariants, third-order ordinary differential equations (ODEs) corresponding to momentum equation and second-order ODEs corresponding to energy and diffusion equations are derived. Shooting technique (R-K fourth-order) is applied to work out the flow equations numerically. MATLAB is used for the simulation and the results are exhibited through graphs. The computational results are validated with the published research work and a modest concurrence was found. The main outcome of this study is found to be that raising values of [Formula: see text] and [Formula: see text] decline the friction, whereas [Formula: see text] and [Formula: see text] show the opposite (increasing). The rising values of [Formula: see text] and [Formula: see text] in addition to [Formula: see text] and [Formula: see text] show a decline in friction factor. The Nusselt number values are improved as raising values of [Formula: see text] versus [Formula: see text] and [Formula: see text] versus [Formula: see text]. It is very clear the monotonically increasing [Formula: see text] versus [Formula: see text] and strictly increasing [Formula: see text] versus [Formula: see text] cases. It is very clear the mass-transfer rate is smoothly improved [Formula: see text] versus [Formula: see text] and strictly increased [Formula: see text] versus [Formula: see text].

Multi-linear regression of triple diffusive convectively heated boundary layer flow with suction and injection: Lie group transformations

Intelligent backpropagated neural networks application on Darcy-Forchheimer ferrofluid slip flow system

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

Intelligent computing through neural networks for entropy generation in MHD third-grade nanofluid under chemical reaction and viscous dissipation

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. 

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

This article examines entropy production (EP) of magneto-hydrodynamics viscous fluid flow model (MHD-VFFM) subject to a variable thickness surface with heat sink/source effect by utilizing the inte...

Rafia Tabassum

Papers

Intelligent computing for the dynamics of entropy optimized nanofluidic system under impacts of MHD along thick surface