MHD Boundary Layer Flow over a Cone Embedded in Porous Media with Joule Heating and Viscous Dissipation

2020 ◽  
Vol 401 ◽  
pp. 131-139
Author(s):  
Santosh Devi ◽  
Mukesh Kumar Sharma
Keyword(s):  
Boundary Layer ◽  
Differential Equations ◽  
Viscous Dissipation ◽  
Joule Heating ◽  
Boundary Layer Flow ◽  
Flowing Fluid ◽  
Coupled Equations ◽  
Mhd Boundary Layer ◽  
Layer Flow ◽  
Mhd Boundary Layer Flow

Aim of the paper is to study the Magnetohydrodynamic boundary layer flow over a cone under the effect of joule heating and viscous dissipation. The surface of the cone is cooled and heated by the flowing fluid having constant temperature along with variable heat transfer coefficient.The surface of the cone is subjected under the convective heat flux. The governing equation for MHD boundary layer flow are non-linear partial differential equations, are transformed into ordinary differential equations using similarity techniques. The reduced ordinary coupled equations are solved with Runge-Kutta’s fourth order method followed by shooting techniques. The effects on flow and heat convection of various physical parameters pertinent to the modeled problem are computed and analyzed and shown through graphs. Keywords: Mixed convection, cone, Boundary layer, Joule Heating, Convective boundary condition.

scholarly journals Three-dimensional MHD boundary layer flow due to an axisymmetric shrinking sheet with radiation, viscous dissipation and heat source/sink

2016 ◽  
Vol 21 (2) ◽  
pp. 393-406
Author(s):  
M. Madhu ◽  
B. Balaswamy ◽  
N. Kishan
Keyword(s):  
Boundary Layer ◽  
Differential Equations ◽  
Heat Source ◽  
Boundary Layer Flow ◽  
Three Dimensional ◽  
Shrinking Sheet ◽  
Mhd Boundary Layer ◽  
Layer Flow ◽  
Source Sink ◽  
Mhd Boundary Layer Flow

AbstractAn analysis is made to study a three dimensional MHD boundary layer flow and heat transfer due to a porous axisymmetric shrinking sheet. The governing partial differential equations of momentum and energy are transformed into self similar non-linear ordinary differential equations by using the suitable similarity transformations. These equations are, then solved by using the variational finite element method. The flow phenomena is characterised by the magnetic parameterM, suction parameterS, porosity parameterKp, heat source/sink parameterQ, Prandtl number Pr, Eckert number Ec and radiation parameterRd. The numerical results of the velocity and temperature profiles are obtained and displayed graphically.

scholarly journals Viscous Dissipation and Radiation Effects on MHD Boundary Layer Flow of a Nanofluid Past a Rotating Stretching Sheet

2015 ◽  
Vol 06 (03) ◽  
pp. 547-567 ◽  
Author(s):  
M. Wahiduzzaman ◽  
Md. Shakhaoath Khan ◽  
P. Biswas ◽  
Ifsana Karim ◽  
M. S. Uddin
Keyword(s):  
Boundary Layer ◽  
Viscous Dissipation ◽  
Boundary Layer Flow ◽  
Radiation Effects ◽  
Stretching Sheet ◽  
Mhd Boundary Layer ◽  
Layer Flow ◽  
Mhd Boundary Layer Flow

scholarly journals MHD Boundary Layer Flow over a Stretching Sheet: A New Stochastic Method

2021 ◽  
Vol 2021 ◽  
pp. 1-26
Author(s):  
Hakeem Ullah ◽  
Imran Khan ◽  
Mehreen Fiza ◽  
Nawaf N. Hamadneh ◽  
M. Fayz-Al-Asad ◽  
...  
Keyword(s):  
Boundary Layer ◽  
Differential Equations ◽  
Boundary Layer Flow ◽  
Stretching Sheet ◽  
Magnetic Parameter ◽  
Industrial Applications ◽  
Deborah Number ◽  
Mhd Boundary Layer ◽  
Layer Flow ◽  
Mhd Boundary Layer Flow

In this study, a new computing model is developed using the strength of feed-forward neural networks with the Levenberg–Marquardt scheme-based backpropagation technique (NN-BLMS). It is used to find a solution for the nonlinear system obtained from the governing equations of the magnetohydrodyanmic (MHD) boundary layer flow over a stretching sheet. Moreover, the partial differential equations (PDEs) for the MHD boundary layer flow over a stretching sheet are converting into ordinary differential equations (ODEs) with the help of similarity transformation. A dataset for the proposed NN-BLMM-based model is generated at different scenarios by a variation of various embedding parameters: Deborah number β and magnetic parameter (M). The training (TR), testing (TS), and validation (VD) of the NN-BLMS model are evaluated in the generated scenarios to compare the obtained results with the reference results. For the fluidic system convergence analysis, a number of metrics, such as the mean square error (MSE), error histogram (EH), and regression (RG) plots, are utilized for measuring the effectiveness and performance of the NN-BLMS infrastructure model. The experiments showed that comparisons between the results of proposed model and the reference results match in terms of convergence up to E-02 to E-10. This proves the validity of the NN-BLMS model. Furthermore, the results demonstrated that there is a decrease in the thickness of the boundary layer by increasing the Deborah number and magnetic parameter. The importance of the experiment can be seen due to its industrial applications such as MHD power generation, MHD generators, and MHD pumps.

Effects of Non-Uniform Heat Source/Sink and Viscous Dissipation on MHD Boundary Layer Flow of Williamson Nanofluid through Porous Medium

2018 ◽  
Vol 389 ◽  
pp. 110-127 ◽  
Author(s):  
Kharabela Swain ◽  
Sampada Kumar Parida ◽  
G.C. Dash
Keyword(s):  
Magnetic Field ◽  
Boundary Layer ◽  
Porous Medium ◽  
Heat Source ◽  
Viscous Dissipation ◽  
Boundary Layer Flow ◽  
Mhd Boundary Layer ◽  
Layer Flow ◽  
Source Sink ◽  
Mhd Boundary Layer Flow

The effects of non-uniform heat source/sink and viscous dissipation on MHD boundary layer flow of Williamson nanofluid through porous medium under convective boundary conditions are studied. Surface transport phenomena such as skin friction, heat flux and mass flux are discussed besides the three boundary layers. The striking results reported as: increase in Williamson parameter exhibiting nanofluidity and external magnetic field lead to thinning of boundary layer, besides usual method of suction and shearing action at the plate, a suggestive way of controlling the boundary layer growth. It is easy to implement to augment the strength of magnetic field by regulating the voltage in the circuit. Also, addition of nano particle to the base fluid serves as an alternative device to control the growth of boundary layer and producing low friction at the wall. The present analysis is an outcome of Runge-Kutta fourth order method with a self corrective procedure i.e. shooting method.

scholarly journals Influence of Thermal Radiation on Magnetohydrodynamic (MHD) Boundary Layer Flow of a Viscous Fluid Over an Exponentially Stretching Sheet

2016 ◽  
Vol 21 (3) ◽  
pp. 581-592 ◽  
Author(s):  
A.S. Idowu ◽  
S. Usman
Keyword(s):  
Boundary Layer ◽  
Differential Equations ◽  
Viscous Fluid ◽  
Boundary Layer Flow ◽  
Stretching Sheet ◽  
Exponentially Stretching Sheet ◽  
Mhd Boundary Layer ◽  
Layer Flow ◽  
Exponentially Stretching ◽  
Mhd Boundary Layer Flow

Abstract Radiation on a magnetohydrodynamic (MHD) boundary layer flow of a viscous fluid over an exponentially stretching sheet was considered together with its effects. The new technique of homotopy analysis method (nHAM) was used to obtain the convergent series expressions for velocity and temperature, where the governig system of partial differential equations was transformed into ordinary differential equations. The interpretation of these expressions is shown physically through graphs. We observed that the effects of the Prandtl and magnetic number act in opposite to each other on the temperature.

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