scholarly journals Numerical Solution of MHD Nanofluid Over a Stretching Surface with Chemical Reaction and Viscous Dissipation

2020 ◽  
Vol 21 (1) ◽  
pp. 36-45
Author(s):  
G Narender ◽  
Santoshi Misra ◽  
K Govardhan
Keyword(s):  
Boundary Layer ◽  
Viscous Dissipation ◽  
Chemical Reaction ◽  
Chemical Engineering ◽  
Numerical Study ◽  
Physical Parameters ◽  
Engineering Research ◽  
Boundary Layer Equations ◽  
State Boundary ◽  
Layer Flow

The main objective of this paper is to focus on a numerical study of chemical reaction and viscous dissipation effects on the steady state boundary layer flow of MHD nanofluid past the horizontally stretching sheet with the existence of nanoparticles. A proper similarity transformation is utilized to convert the boundary layer equations into the nonlinear and coupled ordinary differential equations. These ODEs are sorted out numerically by applying the shooting mechanism. Graphical representations are also included to explain the effect of evolving parameters against the above-mentioned distributions. Significance of different physical parameters on dimensionless velocity, temperature and concentration are elaborated through graphs and tables. For increasing values of Eckert number, the temperature profile increases whereas the chemical reaction parameter increases, the boundary layer thickness decreases. Chemical Engineering Research Bulletin 21(2019) 36-45

An Initial Value Method for the Solution of MHD Boundary-Layer Equations

1970 ◽  
Vol 21 (1) ◽  
pp. 91-99 ◽  
Author(s):  
T. Y. Na
Keyword(s):  
Boundary Layer ◽  
Iteration Process ◽  
Physical Parameters ◽  
Point Boundary ◽  
Initial Value ◽  
Linear Ordinary Differential Equations ◽  
Boundary Layer Equations ◽  
Mhd Boundary Layer ◽  
Layer Flow ◽  
Mhd Boundary Layer Flow

SummaryAn initial value method is introduced in this paper for the solution of the two-point non-linear ordinary differential equations resulting from an analysis of the MHD boundary-layer flow originally treated by Greenspan and Carrier. By using this method, the iteration process is eliminated. The method is seen to be applicable to the solution of similar two-point boundary value problems where certain physical parameters appear either in the differential equation or in the boundary conditions and solutions for a range of the parameter are sought.

scholarly journals Dufour and radiation effect on MHD boundary layer flow past a wedge through porous medium with heat source and chemical reaction

2015 ◽  
Vol 11 (4) ◽  
pp. 5094-5107
Author(s):  
Hadibandhu Pattnayak ◽  
Rojali Mohapatra
Keyword(s):  
Boundary Layer ◽  
Chemical Reaction ◽  
Heat Generation ◽  
Boundary Layer Flow ◽  
Stream Velocity ◽  
Physical Parameters ◽  
Flow Past ◽  
Mhd Boundary Layer ◽  
Layer Flow ◽  
Mhd Boundary Layer Flow

Magnetohydrodynamics (MHD) boundary layer flow past a wedge with the influence of thermal radiation, heat generation and chemical reaction has been analyzed in the present study. This model used for the momentum, temperature and concentration fields. The principal governing equations is based on the velocity  in a nanofluid and with a parallel free stream velocity and surface temperature and concentration. The governing nonlinear boundary layer equations for momentum, thermal energy and concentration are transformed to a system of nonlinear ordinary coupled differential equations by using suitable similarity transformation with fitting boundary conditions. The transmuted model is shown to be controlled by a number of thermo-physical parameters, viz. the magnetic parameter, buoyancy parameter, radiation conduction parameter, heat generation parameter, Porosity parameter, Dufour number, Prandtl number, Lewis number, Brownian motion parameter, thermophoresis parameter, chemical reaction parameter and pressure gradient parameter. Numerical elucidations are obtained with the legendary Nactsheim-Swigert shooting technique together with RungeKutta six order iteration schemes.

scholarly journals MHD Laminar Boundary Layer Flow of a Jeffrey Fluid Past a Vertical Plate Influenced by Viscous Dissipation and a Heat Source/Sink

Mathematics ◽  
2021 ◽  
Vol 9 (16) ◽  
pp. 1896
Author(s):  
Hillary Muzara ◽  
Stanford Shateyi
Keyword(s):  
Boundary Layer ◽  
Differential Equations ◽  
Heat Source ◽  
Viscous Dissipation ◽  
Laminar Boundary Layer ◽  
Boundary Layer Flow ◽  
Vertical Plate ◽  
Jeffrey Fluid ◽  
Physical Parameters ◽  
Layer Flow

This study investigates the effects of viscous dissipation and a heat source or sink on the magneto-hydrodynamic laminar boundary layer flow of a Jeffrey fluid past a vertical plate. The governing boundary layer non-linear partial differential equations are reduced to non-linear ordinary differential equations using suitable similarity transformations. The resulting system of dimensionless differential equations is then solved numerically using the bivariate spectral quasi-linearisation method. The effects of some physical parameters that include the Schmidt number, Eckert number, radiation parameter, magnetic field parameter, heat generation parameter, and the ratio of relaxation to retardation times on the velocity, temperature, and concentration profiles are presented graphically. Additionally, the influence of some physical parameters on the skin friction coefficient, local Nusselt number, and the local Sherwood number are displayed in tabular form.

Influence of non-linear radiation, Joule heating and viscous dissipation on the boundary layer flow of MHD nanofluid flow over a thin moving needle

2019 ◽  
Vol 16 (1) ◽  
pp. 208-224 ◽  
Author(s):  
Himanshu Upreti ◽  
Manoj Kumar
Keyword(s):  
Boundary Layer ◽  
Thermal Radiation ◽  
Viscous Dissipation ◽  
Joule Heating ◽  
Boundary Layer Flow ◽  
Numerical Study ◽  
Nanofluid Flow ◽  
Content Type ◽  
Non Linear ◽  
Layer Flow

Purpose The purpose of this paper is to examine the effect of non-linear thermal radiation, Joule heating and viscous dissipation on the mixed convection boundary layer flow of MHD nanofluid flow over a thin moving needle. Design/methodology/approach The equations directing the flow are reduced into ODEs by implementing similarity transformation. The Runge–Kutta–Fehlberg method with a shooting technique was implemented. Findings Numerical outcomes for the coefficient of skin friction and the rate of heat transfer are tabulated and discussed. Also, the boundary layer thicknesses for flow and temperature fields are addressed with the aid of graphs. Originality/value Till now, no numerical study investigated the combined influence of Joule heating, non-linear thermal radiation and viscous dissipation on the mixed convective MHD flow of silver-water nanofluid flow past a thin moving needle. The numerical results for existing work are new and their novelty verified by comparing them with the work published earlier.

scholarly journals Effects of Inclination of the Plate Embedded in Porous Media on Radiative and Chemically Reactive MHD Convection

2019 ◽  
Vol 8 (4) ◽  
pp. 10239-10245
Keyword(s):  
Differential Equations ◽  
Thermal Radiation ◽  
Ordinary Differential Equations ◽  
Chemical Reaction ◽  
Radiation Effects ◽  
Chemical Engineering ◽  
Numerical Study ◽  
Fluid Velocity ◽  
Petroleum Engineering ◽  
Physical Parameters

This work is focused on the numerical study of thermodiffusion, inclination of the plate, order of chemical reaction, Diffusion-thermo and thermal radiation effects on a steady magnetohydrodynamic convective flow over an inclined plate in a porous medium under the influence of viscous dissipation along with the application of heat generation/ absorption effects. The partial differential equations governing the fluid flow are transformed into coupled non dimensional ordinary differential equations with the help of similarity transformations. Suitable codes in MATLAB’s built in solver bvp4c, which is a highly accurate and efficient solver of MATLAB, are developed to solve these coupled ordinary differential equations numerically. The behaviour of the fluid velocity, temperature and species concentration for variations in the various thermo-physical parameters are illustrated via graphs. From the numerical results it is evident that the heat and mass transfer of the fluid are significantly influenced by the order of chemical reaction, thermal radiation, inclination of the plate, Soret and Dufour effects. Results obtained in this paper may be useful in the field of chemical industries, chemical engineering, petroleum engineering. Gas separating instruments can be installed in big cities as an engineering application so that harmful pollutants can be removed which are present in small quantities mixed with air.

An Analytical Solution for Boundary Layer Flows Over a Moving-Flat Porous Plate With Viscous Dissipation

2013 ◽  
Vol 136 (2) ◽  
Author(s):  
C. J. Toki
Keyword(s):  
Boundary Layer ◽  
Viscous Dissipation ◽  
Porous Plate ◽  
Fluid Temperature ◽  
Boundary Layer Flows ◽  
Boundary Layer Equations ◽  
Dissipation Parameter ◽  
Laplace Transform Technique ◽  
The Laplace Transform ◽  
Layer Flow

The problem of boundary layer flow of an incompressible fluid over a moving porous flat plate is investigated, by taking into account the heat due to viscous dissipation. The governing boundary layer equations of this flow field were solved analytically using the Laplace transform technique. These new exact analytical solutions for velocity and temperature were obtained with arbitrary Prandtl number and dissipation parameter (or Eckert number Ec). The corresponding solutions for nonporous plate are discussed. Applying numerical values into the analytical expressions of the temperature and heat transfer coefficient, we also discussed the effects of the dissipation parameter in the cases of water, gas, and ammonia flow. We can finally deduce that the fluid temperature of the present problem will increase in the case of viscous dissipation with positive Ec, but this temperature will decrease with negative Ec.

scholarly journals Effect of MHD on Nanofluid flow, Heat and Mass Transfer over a Stretching Surface Embedded in a Porous Medium

2018 ◽  
Author(s):  
Nassima Mami ◽  
Mohamed Najib Bouaziz
Keyword(s):  
Boundary Layer ◽  
Porous Medium ◽  
Chemical Reaction ◽  
Saturated Porous Medium ◽  
Boussinesq Approximation ◽  
Convection Boundary Layer ◽  
Physical Parameters ◽  
Stretching Surface ◽  
Boundary Layer Equations ◽  
Laminar Mixed Convection

The steady, laminar, mixed convection, boundary layer flow of an incompressible nanofluid past over a semi-infinite stretching surface in a nanofluid –saturated porous medium with the effects of magnetic field and chemical reaction is studied. The governing boundary layer equations (obtained with the Boussinesq approximation) are transformed into a system of nonlinear ordinary differential equations by using similarity transformation. The effects of various physical parameters are analyzed and discussed in graphical and tabular form. Comparison with published results is presented and we found an excellent agreement with it. Mainly, it found firstly, that an increase in magnetic parameter M decreases both the local Nusselt number and local Sherwood number. Secondly, a great order of the chemical reaction increases the Nusselt and Sherwood numbers.

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