Transportation of heat and mass of nonlinear mixed convective boundary flow of Casson fluid with generalized Fourier’s and Fick’s laws and stratification effect

2021 ◽  
pp. 095440622110395
Author(s):  
Muhammad Saqlain ◽  
Muhammad Imran Anwar ◽  
Muhammad Waqas
Keyword(s):  
Heat Source ◽  
Fluid Velocity ◽  
Casson Fluid ◽  
Shear Stresses ◽  
Convective Boundary ◽  
Nonlinear Odes ◽  
Coupled Equations ◽  
Uniform Heat ◽  
Stratification Effect ◽  
Layer Flow

The under-consideration article discloses the features of nonlinear mixed convective boundary layer flow of radiative Casson fluid along non-uniform heat source or sink. The generalized Fourier’s and Fick’s laws and thermophoretic effect are taken to analyze the transportation of heat and mass. The stratification and suction/injection effect are also implemented on the boundary of the sheet. The flow modeled equations are converted into system of coupled nonlinear ODEs by adopting similarity variables. These coupled equations are numerically computed with built-in Bvp4c technique. The developing parameters are described graphically via velocity profile, temperature, and concentration distribution. It is worth revealing that the higher values of the Casson fluid parameter and magnetic field parameter retarded the fluid velocity. It is also noticed that strong temperature is achieved for the higher estimation of non-uniform heat source/sink parameter. Further, enhancement is occurred in the shear stresses, by the enlargement of mixed convection and buoyancy ratio parameter.

Impact of Chemical Reaction on Marangoni Boundary Layer Flow of a Casson Nano Liquid in the Presence of Uniform Heat Source Sink

2017 ◽  
Vol 11 ◽  
pp. 22-32 ◽  
Author(s):  
K. Ganesh Kumar ◽  
Bijjanal Jayanna Gireesha ◽  
B.C. Prasannakumara ◽  
Oluwole Daniel Makinde
Keyword(s):  
Boundary Layer ◽  
Heat Source ◽  
Chemical Reaction ◽  
Boundary Layer Flow ◽  
Boundary Surface ◽  
Lewis Number ◽  
Uniform Heat ◽  
Layer Flow ◽  
Marangoni Boundary Layer ◽  
Source Sink

This paper explore the Marangoni boundary layer flow in a Casson nano liquid over a stretching sheet. The effect of chemical reaction and uniform heat source/sink are taken into the account. The standard nonlinear system is resolved numerically via Runge-Kutta based shooting scheme. Role of substantial parameters on flow fields as well as on heat and mass transportation rates are determined and conferred in depth through graphs.From the investigation it reveals that, the Marangoni number plays a connecting role between the velocity and temperature gradients on the boundary surface. Further,the higher values of Lewis number and chemical reaction parameter reduces the solutal thermal boundary layer thickness decreases.

scholarly journals MHD Boundary Layer Flow of Casson Fluid Past an Inclined Plate in the Presence of Soret/Dufour Effects, Heat Source and First-order Chemical Reaction

2021 ◽  
Vol 13 (3) ◽  
pp. 785-795
Author(s):  
U. J. Das
Keyword(s):  
Boundary Layer ◽  
Heat Source ◽  
Boundary Layer Flow ◽  
Casson Fluid ◽  
Inclined Plate ◽  
First Order ◽  
Order Chemical Reaction ◽  
Fluid Parameter ◽  
Layer Flow ◽  
First Order Chemical Reaction

The main objective of this study is to investigate the effects of the Casson fluid parameter on an incompressible, magnetohydrodynamic boundary layer flow of a Casson fluid past a moving porous inclined plate in the presence of heat source and first-order chemical reaction. The governing partial differential equations are converted into ordinary differential equations using similarity transformation and then are solved numerically, adopting bv4pc method. The effects of relevant parameters on the velocity, temperature and concentration profiles are analyzed graphically. Also, tabular form is used to present skin friction, heat transfer and mass transfer. This investigation reveals that the Casson fluid parameter enhances the fluid velocity, skin friction and Sherwood number, while the Nusselt number decreases.

scholarly journals Finite Element Simulation of Multi-Slip Effects on Unsteady MHD Bioconvective Micropolar Nanofluid Flow Over a Sheet with Solutal and Thermal Convective Boundary Conditions

Coatings ◽  
2019 ◽  
Vol 9 (12) ◽  
pp. 842 ◽  
Author(s):  
Liaqat Ali ◽  
Xiaomin Liu ◽  
Bagh Ali ◽  
Saima Mujeed ◽  
Sohaib Abdal
Keyword(s):  
Finite Element ◽  
Differential Equations ◽  
Boundary Conditions ◽  
Fluid Velocity ◽  
Mesh Size ◽  
Skin Friction Coefficient ◽  
Convective Boundary ◽  
Micropolar Nanofluid ◽  
Layer Flow ◽  
Buoyancy Ratio

In this article, the intention is to explore the flow of a magneto-hydrodynamic (MHD) bioconvective micro-polar Nanofluid restraining microorganism. The numerical solution of 2-D laminar bioconvective boundary layer flow of micro-polar nanofluids are presented. The phenomena of multi-slip, convective thermal and Solutal boundary conditions have been integrated. A system of non-linear partial differential equations are transformed into the system of coupled nonlinear ordinary differential equations by applying appropriate transformations, the transformed equations are then solved by applying the variational finite element method (FEM). The fascinating features of assorted velocity parameter, microrotation, temperature, microorganism compactness, solutal and nanoparticles concentration have been inspected. The rate of heat transfer, the skin friction coefficient, couple stress and Sherwood number for microorganisms have also been discussed graphically and numerically. The investigations illustrated that increase in material parameters causes a reduction in microorganism compactness, concentration and temperature. As a result of enhancement in the unsteadiness parameter, the fluid velocity, concentration of microorganisms and the temperature are observed to be declines. Energy and microorganism compactness profile affected by the improvement in the buoyancy ratio parameter. As the improvement in results of buoyancy ratio parameter effects on improvement in the energy and the microorganism compactness profile while the velocity profile is condensed. In the end, rationalized convergence of the finite element solution has been inspected; the computations are found out via depreciating the mesh size.

scholarly journals UNSTEADY MHD FLOW OF RADIATING CASSON FLUID THROUGH A PERMEABLE CHANNEL WITH SLIP, BUOYANCY FORCE AND HEAT SOURCE

2020 ◽  
Vol 50 (4) ◽  
pp. 315-320
Author(s):  
Om Prakash Verma ◽  
Oluwole Daniel Makinde ◽  
R. L. Monaledi
Keyword(s):  
Heat Transfer ◽  
Heat Source ◽  
Skin Friction ◽  
Buoyancy Force ◽  
Fluid Velocity ◽  
Vertical Channel ◽  
Wall Slip ◽  
Mhd Flow ◽  
Casson Fluid ◽  
Left Wall

Analytical investigation is performed into an unsteady Magnetohrodynamics mixed convective Casson fluid flow and heat transfer characteristics with thermal radiation, wall slip, heat source and buoyancy force in a permeable vertical channel. The fluid is injected into the left wall of the channel and sucked out at right wall. The governing momentum and energy balance equations are achieved and tackled analytically. The effects of numerous thermophysical parameters on the temperature profiles, velocity, Nusselt number as well as skin friction are presented graphically and discussed qualitatively. The results show that a temporal decline in the pressure gradient causes both the temperature and fluid velocity to decrease. Moreover, the enhancement in heat transfer due to wall injection/suction also causes the skin friction to decrease.

Effect of non-linear thermal radiation on the stagnation point flow of double diffusive free convection due to movingvertical plate

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Mahantesh M. Nandeppanavar ◽  
Kemparaju M.C. ◽  
Raveendra N.
Keyword(s):  
Thermal Radiation ◽  
Stagnation Point ◽  
Schmidt Number ◽  
Vertical Plate ◽  
Casson Fluid ◽  
Nonlinear Thermal Radiation ◽  
Concentration Profiles ◽  
Convective Boundary ◽  
Nonlinear Odes ◽  
Content Type

Purpose This paper aims to find the influence of convective heat transfer, buoyancy proportions, nonlinear thermal radiation, Prandtl number, Rayleigh number and Schmidt number on velocity, temperature and concentration profiles. Design/methodology/approach This paper explores the heat and mass transfer of a stagnation point stream of free convective Casson fluid over a moving vertical plate with nonlinear thermal radiation and convective boundary restrictions. The governing PDEs of stream, heat and concentration profiles were reformed into an arrangement of nonlinear ODEs by using similarity transformation. This framework was then tackled numerically by applying forth-order RK shooting strategy. Findings Distribution of flow, velocity and temperature profiles for different values of governing parameters are analyzed. Originality/value The original results are depicted in terms of plots.

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