scholarly journals Scaling group analysis on MHD effects on heat transfer near a stagnation point on a linearly stretching sheet with variable viscosity and thermal conductivity, viscous dissipation and heat source/sink

2015 ◽  
Vol 42 (2) ◽  
pp. 111-133 ◽  
Author(s):  
Hunegnaw Dessie ◽  
Kishan Naikoti
Keyword(s):  
Heat Transfer ◽  
Thermal Conductivity ◽  
Differential Equations ◽  
Heat Source ◽  
Stagnation Point ◽  
Viscous Dissipation ◽  
Stretching Sheet ◽  
Variable Viscosity ◽  
Physical Parameters ◽  
Source Sink

The effects of variable viscosity and thermal conductivity on MHD heat transfer flow of viscous incompressible electrically conducting fluid near stagnation point flow on non-conducting stretching sheet in presence of uniform transfer magnetic field with heat source/sink and viscous dissipation has been analyzed. The governing partial differential equations are transformed into ordinary differential equations using a special form of Lie group transformations and then solved using Fourth order Runge-Kutta Method. Effects of different physical parameters on the flow and heat transfer characteristics are analyzed. Variations of different parameters on skin fiction coefficient-f??(0) and temperature gradient ???(0) are presented in tabular form.

MHD Stagnation-Point Flow Past over a Stretching Sheet in the Presence of Non-Darcy Porous Medium and Heat Source/Sink

2017 ◽  
Vol 374 ◽  
pp. 92-105 ◽  
Author(s):  
S.R. Mishra ◽  
B. Nayak ◽  
R.P. Sharma
Keyword(s):  
Differential Equations ◽  
Heat Source ◽  
Stagnation Point ◽  
Stretching Sheet ◽  
Velocity Ratio ◽  
Porous Matrix ◽  
Stagnation Point Flow ◽  
Physical Parameters ◽  
Flow Past ◽  
Source Sink

The steady boundary layer magnetohydrodynamic stagnation- point flow past a stretching sheet through porous media in the presence of heat source /sink has been studied. Dissipative effects such as viscous, Joule and Darcy dissipation are also considered in the present study. The governing nonlinear coupled partial differential equations are modified into self-similar ordinary differential equations by appropriate similarity transformations and then the transmuted equations are numerically solved by Runge-Kutta fourth order method. Particular importance of pertinent physical parameters of interest which cover velocity ratio parameter, magnetic parameter, porous matrix, Prandtl number, Eckert number, temperature index parameter and heat source parameter. The outcomes acquired for velocity, temperature and skin friction has been displayed in tables and graphs. For the verification of the present outcomes with the earlier published results in a particular case is also presented and it is found that the present result is in good agreement.

scholarly journals Numerical Solution of MHD Viscoelastic Nanofluid Flow over a Stretching Sheet with Partial Slip and Heat Source/Sink

2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
Mania Goyal ◽  
Rama Bhargava
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Brownian Motion ◽  
Differential Equations ◽  
Heat Source ◽  
Uniform Magnetic Field ◽  
Stretching Sheet ◽  
Partial Slip ◽  
Local Similarity ◽  
Source Sink

We analyze the effect of velocity slip boundary condition on the flow and heat transfer of non-Newtonian nanofluid over a stretching sheet with a heat source/sink, under the action of a uniform magnetic field, orientated normally to the plate. The Brownian motion and thermophoresis effects are also considered. The boundary layer equations governed by the partial differential equations are transformed into a set of ordinary differential equations with the help of local similarity transformations. The differential equations are solved by the variational finite element method (FEM). We have examined the effects of different controlling parameters, namely, the Brownian motion parameter, the thermophoresis parameter, uniform magnetic field, viscoelastic parameter, Prandtl number, heat source/sink parameter, Lewis number, and the slip parameter on the flow field and heat transfer characteristics. Graphical display of the numerical examination is performed to illustrate the influence of various flow parameters on the velocity, temperature, concentration, and Nusselt and Sherwood numbers distributions. The present study has many applications in coating and suspensions, cooling of metallic plate, paper production, heat exchangers technology, and materials processing exploiting.

Effect of Radiation on MHD Free Convective Flow over a Stretching Sheet in the Presence of Heat Source/Sink

2017 ◽  
Vol 378 ◽  
pp. 1-15
Author(s):  
S. Baag ◽  
S.R. Mishra ◽  
B. Nayak ◽  
M.R. Acharya
Keyword(s):  
Differential Equations ◽  
Heat Source ◽  
Stretching Sheet ◽  
Physical Parameters ◽  
Linear Ordinary Differential Equations ◽  
Electrically Conducting ◽  
Flow Phenomena ◽  
Flow Heat ◽  
Layer Flow ◽  
Source Sink

In this analysis, effects of viscous dissipation and thermal radiation on an electrically conducting boundary layer flow, heat and mass transfer of a fluid through a porous medium over a stretching sheet in the presence of heat source/sink is considered. The symmetry groups admitted by the corresponding boundary value problem are obtained by using symmetric transformations. These transformations are used to convert the partial differential equations of the governing equations into self-similar non-linear ordinary differential equations. These transformed ODEs are solved by employing Runge-Kutta fourth order with shooting method. Numerical results obtained for different thermo-physical parameters characterizes the flow phenomena are drawn graphically and effects of various physical parameters on velocity, temperature and concentration profiles are discussed. Numerical computation for skin friction, Nusselt number and Sherwood number are also obtained and presented in Tables.

scholarly journals Impact of Temperature-Dependent Heat Source/Sink and Variable Species Diffusivity on Radiative Reiner–Philippoff Fluid

2020 ◽  
Vol 2020 ◽  
pp. 1-16
Author(s):  
T. Sajid ◽  
M. Sagheer ◽  
S. Hussain
Keyword(s):  
Heat Transfer ◽  
Thermal Conductivity ◽  
Mass Transfer ◽  
Heat Source ◽  
Transfer Rate ◽  
Variable Thermal Conductivity ◽  
Physical Parameters ◽  
Molecular Diffusivity ◽  
Source Sink ◽  
The Impact

The principle aim of the current communication is to scrutinize the impact of distinguished effects like variable thermal conductivity and variable molecular diffusivity on non-Newtonian Reiner–Philippoff fluid moving over a stretchable surface. The process of heat transfer is carried out in the presence of nonlinear thermal radiation, variable thermal conductivity, and heat generation/absorption. Furthermore, the study of mass transfer phenomena is carried out in the existence of variable molecular diffusivity. The PDEs regarding our model are renovated into ODEs by utilizing similarity transformation. Furthermore, the dimensionless model is tackled with the help of the RK4 method in conjunction with the shooting technique. The effects of different physical parameters that emerged during the numerical simulation on mass transfer rate, heat transfer rate, and velocity field are portrayed in the form of tables and graphs. It is noteworthy that an elevation in the heat source/sink parameters causes a reduction in the temperature profile. Moreover, a positive variation in the species diffusivity parameter augments the mass fraction field. A variation in the fluid parameter is found to be significantly affecting the shear thinning and shear thickening behaviour of the fluid. Reliability of the numerical outcomes is judged by comparing the obtained outcomes with the already available literature. The article is unique in its sense that the heat and mass transfer analysis of Reiner–Philippoff fluid under the aforementioned effects has not been investigated yet.

scholarly journals Heat Transfer of Viscoelastic Fluid Flow due to Nonlinear Stretching Sheet with Internal Heat Source

2013 ◽  
Vol 18 (3) ◽  
pp. 739-760 ◽  
Author(s):  
M.M. Nandeppanavar ◽  
M.N. Siddalingappa ◽  
H. Jyoti
Keyword(s):  
Heat Transfer ◽  
Heat Source ◽  
Stretching Sheet ◽  
Numerical Solutions ◽  
Internal Heat ◽  
Internal Heat Source ◽  
Similarity Solutions ◽  
Physical Parameters ◽  
Local Skin ◽  
Source Sink

Abstract In the present paper, a viscoelastic boundary layer flow and heat transfer over an exponentially stretching continuous sheet in the presence of a heat source/sink has been examined. Loss of energy due to viscous dissipation of the non-Newtonian fluid has been taken into account in this study. Approximate analytical local similar solutions of the highly non-linear momentum equation are obtained for velocity distribution by transforming the equation into Riccati-type and then solving this sequentially. Accuracy of the zero-order analytical solutions for the stream function and velocity are verified by numerical solutions obtained by employing the Runge-Kutta fourth order method involving shooting. Similarity solutions of the temperature equation for non-isothermal boundary conditions are obtained in the form of confluent hypergeometric functions. The effect of various physical parameters on the local skin-friction coefficient and heat transfer characteristics are discussed in detail. It is seen that the rate of heat transfer from the stretching sheet to the fluid can be controlled by suitably choosing the values of the Prandtl number Pr and local Eckert number E, local viscioelastic parameter k*1 and local heat source/ sink parameter β*

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