Energy conversion under conjugate conduction, magneto-convection, diffusion and nonlinear radiation over a non-linearly stretching sheet with slip and multiple convective boundary conditions

Abstract

Energy conversion under conjugate conduction, magnetoconvection, diffusion and nonlinear radiation over a nonlinearly stretching sheet with slip and multiple convective boundary conditions Uddin AbstractEnergy conversion under conduction, convection, diffusion and radiation has been studied for MHD free convection heat transfer of a steady laminar boundary-layer flow past a moving permeable non-linearly extrusion stretching sheet. The nonlinear Rosseland thermal radiation flux model, velocity slip, thermal and mass convective boundary conditions are considered to obtain a model with fundamental applications to real world energy systems. The Navier slip, thermal and mass convective boundary conditions are taken into account. Similarity differential equations with corresponding boundary conditions for the flow problem, are derived, using a scaling group of transformation. The transformed model is shown to be controlled by magnetic field, conduction-convection, convection-diffusion, suction/injection, radiation-conduction, temperature ratio, Prandtl number, Lewis number, buoyancy ratio and velocity slip parameters. The transformed non-dimensional boundary value problem comprises a system of nonlinear ordinary differential equations and physically realistic boundary conditions, and is solved numerically using the efficient Runge-Kutta-Fehlberg fourth fifth order numerical method, available in Maple17 symbolic software. Validation of results is achieved with previous simulations available in the published literature. The obtained results are displayed both in graphical and tabular form to exhibit the effect of the controlling parameters on the dimensionless velocity, temperature and concentration distributions. The current study has applications in high temperature materials processing utilizing magnetohydrodynamics, improved performance of MHD energy generator wall flows and also magnetic-microscale fluid devices.

Significance of the nonlinear radiative flow of micropolar nanoparticles over porous surface with a gyrotactic microorganism, activation energy, and Nield's condition

“…This mobility of microorganisms is simulated by various stimulators such as chemotaxis, photosynthesis, gyrotactic, and so on. Many recent advancements on this topic can be visualized through Kuznetsov et al…”

“…This mobility of microorganisms is simulated by various stimulators such as chemotaxis, photosynthesis, gyrotactic, and so on. Many recent advancements on this topic can be visualized through Kuznetsov et al [22][23][24][25][26][27][28][29][30][31][32][33][34][35][36] Recently, the activation energy has attained the interests of engineers, which was originally proposed by Arrhenius in 1889. This is known as base energy supplied to reactants in chemical processing for the conversion of products.…”

Unsteady squeezing flow of water‐based nanofluid between two parallel disks with slip effects: Analytical approach

“…Many researchers have extended the work of Navier . Furthermore, Uddin et al have investigated biconvective electromagnetic nanofluid transport in various geometries considering multiple slip conditions.…”

Thermo-Magneto-Solutal Squeezing Flow of Nanofluid between Two Parallel Disks Embedded in a Porous Medium: Effects of Nanoparticle Geometry, Slip and Temperature Jump Conditions

“…Furthermore, the e ect of stretching sheet wall problem adopting natural convective boundary conditions was investigated by Yao et al [23], Kandasamy et al [24], and Makinde and Aziz [25]. More works on parametric studies of the ow process can be found in [26][27][28][29][30][31][32][33][34]. Additionally, analyses of magnetohydrodynamic ow in the porous medium have been presented in various works [35][36][37][38][39][40][41][42][43][44][45][46][47][48][49][50] while various studies of magneto-nano uid ow have also been presented in the past works [51][52][53][54][55][56][57][58][59][60][61][62][63][64][65][66][67][68].…”

“…In the same way, f 2 (η), θ 2 (η), andϕ 2 (η) are (27), (31), and (35) are solved using the boundary conditions in (28), (32), and (36), respectively. Although the resulting solutions and the other subsequent solutions are too long to be shown in this paper, they are included in the simulated results shown graphically in the results and discussion section.…”