scholarly journals MHD stagnation point slip flow due to a non-linearly moving surface with effect of non-uniform heat source

2019 ◽  
Vol 8 (1) ◽  
pp. 270-282 ◽  
Author(s):  
Mahantesh M. Nandeppanavar ◽  
M. C. Kemparaju ◽  
S. Shakunthala
Keyword(s):  
Differential Equations ◽  
Heat Source ◽  
Stagnation Point ◽  
Source Parameters ◽  
Slip Flow ◽  
Mhd Flow ◽  
Moving Plate ◽  
Similarity Transformations ◽  
Uniform Heat ◽  
Source Sink

Abstract In this paper, we have studied the heat transfer characteristics of stagnation point flow of an MHD flow over a non-linearly moving plate with momentum and thermal slip effects in presence of non-uniform heat source/sink. The governing differential equations are transformed into the ordinary differential equations using suitable similarity transformations. These equations which are BVPs’ and are solved using a numerically by fourth order Runge-Kutta method using MAPLE computing software. The effects of governing parameters are studied on flow, velocity and heat distributions and are discussed in detail. It is observed that the non-uniform heat source parameters enhance the temperature distribution. Our results are agreed well with previously published results for some limiting conditions, which validate our present results are correct.

scholarly journals Flow over Exponentially Stretching Sheet through Porous Medium with Heat Source/Sink

2015 ◽  
Vol 2015 ◽  
pp. 1-7 ◽  
Author(s):  
I. Swain ◽  
S. R. Mishra ◽  
H. B. Pattanayak
Keyword(s):  
Porous Medium ◽  
Differential Equations ◽  
Heat Source ◽  
Stretching Sheet ◽  
Nonlinear Partial Differential Equations ◽  
Mhd Flow ◽  
Mass Transfer Effect ◽  
Exponentially Stretching Sheet ◽  
Exponentially Stretching ◽  
Source Sink

An attempt has been made to study the heat and mass transfer effect in a boundary layer MHD flow of an electrically conducting viscous fluid subject to transverse magnetic field on an exponentially stretching sheet through porous medium. The effect of thermal radiation and heat source/sink has also been discussed in this paper. The governing nonlinear partial differential equations are transformed into a system of coupled nonlinear ordinary differential equations and then solved numerically using a fourth-order Runge-Kutta method with a shooting technique. Graphical results are displayed for nondimensional velocity, temperature, and concentration profiles while numerical values of the skin friction local Nusselt number and Sherwood number are presented in tabular form for various values of parameters controlling the flow system.

MHD Stagnation Point Flow over Exponentially Stretching Sheet with Exponentially Moving Free-Stream, Viscous Dissipation, Thermal Radiation and Non-Uniform Heat Source/Sink

2017 ◽  
Vol 11 ◽  
pp. 182-190
Author(s):  
Gauri Shenkar Seth ◽  
Rohit Sharma ◽  
B. Kumbhakar ◽  
R. Tripathi
Keyword(s):  
Heat Source ◽  
Stagnation Point ◽  
Viscous Dissipation ◽  
Free Stream ◽  
Transverse Magnetic ◽  
Stagnation Point Flow ◽  
Uniform Heat ◽  
Highly Nonlinear ◽  
Exponentially Stretching ◽  
Source Sink

An investigation is carried out for the steady, two dimensional stagnation point flow of a viscous, incompressible, electrically conducting, optically thick heat radiating fluid taking viscous dissipation into account over an exponentially stretching non-isothermal sheet with exponentially moving free-stream in the presence of uniform transverse magnetic field and non-uniform heat source/sink. The governing boundary layer equations are transformed into highly nonlinear ordinary differential equations using suitable similarity transform. Resulting boundary value problem is solved numerically with the help of 4th-order Runge-Kutta Gill method along with shooting technique. Effects of various pertinent flow parameters on the velocity, temperature field, skin friction and Nusselt number are described through figures and tables. Also, the present numerical results are compared with the earlier published results for some reduced case and a good agreement has been found among those results.

Three-Dimensional Magnetohydrodynamics Slip Flow of Nanofluids Over a Slendering Stretching Sheet with Heat Source or Sink Effects

2021 ◽  
Vol 10 (3) ◽  
pp. 380-387
Author(s):  
R. Jayakar ◽  
B. Rushi Kumar
Keyword(s):  
Heat Transfer ◽  
Differential Equations ◽  
Heat Source ◽  
Boundary Layers ◽  
Source Parameters ◽  
Slip Flow ◽  
Three Dimensional ◽  
Current Approach ◽  
Slip Effects ◽  
Nano Fluids

Aim: The research carried out in this article is based on experimenting with a 3-D MHD nanofluid flow on a sheet as slendering stretch bearing the slip effects, thermophoresis, Brownian Motion, heat source, and sink. Water-based Cuo and Cu nano-fluids were considered for the analysis. Following the suitable techniques of similarity transformation, the partial differential equations also called the governing equations are deduced into ODE (Ordinary Differential Equations). The mathematical results were estimated by applying the Methods of Newton and Runge-Kutta. The calculations along with the graphs for different parameters were also explained. Novelty: The outcomes of novel effective graphs for different parameters of interest are shown and explained. It has been found that heat-sink/source parameters depending on the temperature and space serve as heat transfer parameters. Slip effects minimize the thermal boundary layers as well as concentration development. It is discovered that CuO-Water, as well as Cu-Water nanofluids, have homogeneous boundary layers (concentration, thermal and momentum),and as contrasted with the CuO-Water nanofluids, the mass, and the heat transfer rate is higher in Cu-Water nanofluids. The paper concludes by comparing the outcomes of the current approach with findings that already existed.

Radiation and heat source effects on MHD flow over a permeable stretching sheet through porous stratum with chemical reaction

2018 ◽  
Vol 14 (5) ◽  
pp. 1101-1114 ◽  
Author(s):  
K. Suneetha ◽  
S.M. Ibrahim ◽  
G.V. Ramana Reddy
Keyword(s):  
Porous Medium ◽  
Differential Equations ◽  
Heat Source ◽  
Chemical Reaction ◽  
Stretching Sheet ◽  
Mhd Flow ◽  
Working Fluid ◽  
Content Type ◽  
Source Effects ◽  
Similarity Transformations

Purpose The purpose of this paper is to investigate the steady 2D buoyancy effects on MHD flow over a permeable stretching sheet through porous medium in the presence of suction/injection. Design/methodology/approach Similarity transformations are employed to transform the governing partial differential equations into ordinary differential equations. The transformed equations are then solved numerically by a shooting technique. Findings The working fluid is examined for several sundry parameters graphically and in tabular form. It is observed that with an increase in magnetic field and permeability of porous parameter, velocity profile decreases while temperature and concentration enhances. Stretching sheet parameter reduces velocity, temperature and concentration, whereas it increases skin friction factor, Nusselt number and Sherwood number. Originality/value Till now no numerical studies are reported on the effects of heat source and thermal radiation on MHD flow over a permeable stretching sheet embedded in porous medium in the presence of chemical reaction.

Unsteady MHD Flow of Heat and Mass Transfer of Nanofluids over Stretching Sheet with a Non-Uniform Heat/Source/Sink Considering Viscous Dissipation and Chemical Reaction

2015 ◽  
Vol 14 ◽  
pp. 1-12 ◽  
Author(s):  
Hunegnaw Dessie ◽  
Naikoti Kishan
Keyword(s):  
Mass Transfer ◽  
Heat Source ◽  
Viscous Dissipation ◽  
Chemical Reaction ◽  
Stretching Sheet ◽  
Mhd Flow ◽  
Keller Box Method ◽  
Uniform Heat ◽  
Box Method ◽  
Source Sink

In this paper, unsteady MHD flow of heat and mass transfer of Cu-water and TiO2-water nanofluids over stretching sheet with a non-uniform heat/source/sink considering viscous dissipation and chemical reaction is investigated. The governing partial differential equations with the corresponding boundary conditions are transformed to a system of non-linear ordinary differential equations and solved using Keller box method. The velocity, temperature and concentration profiles are obtained and the influences of various relevant parameters, namely the magnetic parameter M, Prandtl number Pr, Eckert number Ec, Schmidt number Le , chemical reaction parameter K,unsteadiness parameter S and the Soret number Sr on velocity, temperature and concentration profiles are discussed. The skin-friction coefficient–f''(0), heat transfer coefficient –θ'(0) and mass transfer coefficient –φ'(0) are presented in tables. A comparison with published results is also presented and found in good agreement. Keywords: MHD; Keller box method; unsteady; nanofluid; non-uniform heat/source/sink; chemical reaction; viscous dissipation.

Non-Uniform Heat Source or Sink Effect on the Flow of 3D Casson Fluid in the Presence of Soret and Thermal Radiation

2015 ◽  
Vol 20 ◽  
pp. 112-129 ◽  
Author(s):  
Chalavadi Sulochana ◽  
Samrat S. Payad ◽  
Naramgari Sandeep
Keyword(s):  
Differential Equations ◽  
Heat Source ◽  
Thermal Radiation ◽  
Three Dimensional ◽  
Casson Fluid ◽  
Shooting Technique ◽  
Uniform Heat ◽  
Sink Effect ◽  
Flow Heat ◽  
Source Sink

This study deals with the three-dimensional magnetohydrodynamic Casson fluid flow, heat and mass transfer over a stretching surface in the presence of non-uniform heat source/sink, thermal radiation and Soret effects. The governing partial differential equations are transformed to nonlinear ordinary differential equations by using similarity transformation, which are then solved numerically using Runge-Kutta based shooting technique. We obtained good accuracy of the present results by comparing with the exited literature. The influence of dimensionless parameters on velocity, temperature and concentration profiles along with the friction factor, local Nusselt and Sherwood numbers are discussed with the help of graphs and tables. It is found that the positive values of non-uniform heat source/sink parameters acts like heat generators and helps to develop the temperature profiles of the flow.

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