Similarity treatment for MHD free convective boundary layer flow of a class of non-Newtonian fluids

Darji, R. M.; Timol, M. G.

doi:10.5937/fmet1602197d

Cited by 4 publications

(6 citation statements)

References 21 publications

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“…Thus, the velocity profiles of air and water travel a smaller distance than methane. The characteristic of velocity profiles shows good agreement with the typical velocity characteristic curve for natural convection [21].…”

Section: Velocity Profilessupporting

confidence: 66%

Computational analysis of convective heat transfer across a vertical tube

Singh¹,

Singh²

2021

FME Transactions

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This paper deals with the numerical investigation of the convective mode of heat transfer across a vertical tube. Experiments were carried out using air as a fluid in a closed room by achieving a steady-state condition. Implicit scheme of finite difference method was adopted to numerically simulate the free convection phenomenon across vertical tube using LINUX based UBUNTU package. Numerical data were collected in the form of velocity, temperature profiles, boundary layer thickness, Nusselt number (Nu), Rayleigh's number (Ra), and heat transfer coefficient. The results of the Nusselt number showed a good agreement with the previous studies. Results data of heat transfer coefficient indicate that there were some minor heat losses due to radiation of brass tube and curvature of the tube.

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Section: Velocity Profilessupporting

confidence: 66%

Computational analysis of convective heat transfer across a vertical tube

Singh¹,

Singh²

2021

FME Transactions

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“…The set of non-linear coupled ordinary differential equations (13)- (14) subject to the boundary conditions (15) and (16) is a two-point boundary value problem (BVP). In order to solve these equations numerically we follow the most efficient numerical shooting technique with a fourthorder Runge-Kutta Fehlberg integration scheme.…”

Section: Resultsmentioning

confidence: 99%

“…Specifically in nuclear engineering control, plasma aerodynamics, mechanical engineering, manufacturing processes, astrophysical fluid dynamics and magnetohydrodynamic (MHD) energy systems, In view of the applications of MHD, Pavlov [13] made the first move to investigate the MHD boundary layer flow of an electrically conducting fluid over a stretching wall. In recent years, Darji and Timol [14] applied deductive group symmetry method to derive similarity transformations for the natural convective boundary layer flow of a class of non-Newtonian fluids to ordinary differential system for the class of Non-Newtonian fluids. Shahzad and Ali [15] investigated the MHD flow and heat transfer of a power-law fluid on a vertical stretching sheet using convective thermal boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

The Effects of Thermo-Physical Parameters on Free Convective Flow of a Chemically Reactive Power Law Fluid Driven by Exothermal Plate

Samuel¹

2018

CBE

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In this article, the effects of thermo-physical parameters on free convective flow of a chemically reactive power law fluid driven by exothermal plate is studied. The effect of thermal radiation on the fluid flow is investigated. Also, an exothermal surface reaction modeled by Arrhenius kinetics supplied heat to the power law fluid. Suitable similarity transformations are used to transform the non-linear partial differential equations into system of non-linear coupled ordinary differential equations. The obtained coupled non-linear ordinary differential equations are then solved numerically via fourthorder Runge-Kutta Fehlberg method. A parametric study is performed to illustrate the influence of thermal conductivity parameter, Grashof number, power-law index, velocity exponent parameter, Prandtl number, heat generation parameter, magnetic parameter, Eckert number, radiation parameter, Frank-Kamenetskii parameter, activation energy parameter, Brinkman number, reactant consumption parameter, and suction parameter on the fluid velocity and temperature profiles within the boundary layer. Numerical values of different controlling parameters for local skin friction coefficient and local Nusselt number are obtained and discussed. Comparison of the present work with existing literature was carried out and the results are in excellent agreement. The results also shows that skin friction coefficient decreases with increase in Eckert number, while the rate of heat transfer is enhanced at the surface of the plate as the Eckert number increase.

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“…Motivation of this present work comes from the work done by Darji and Timol [16] where they carried out a research that involved the similarity analysis between Williamson and Prandtl-Eyring models for a natural convection boundary layer flow. It was observed in their work that the velocity in Williamson model is higher than that of Prandtl-Eyring model.…”

Section: Introductionmentioning

confidence: 99%

Unsteady magnetohydrodynamic flow of some non-Newtonian fluids with slip through porous channel

Oyelami¹,

Dada²

2018

IJHT

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The numerical analysis for transfer of heat by natural convection on an unsteady Magnetohydrodynamic flow of non-Newtonian fluids through porous channel is considered. Equations governing the model are formulated, simplified and non-dimensionalised. The solution is obtained by employing Crank Nicolson's type of finite difference discritization. Velocity as well as the temperature distributions for both Prandtl-Eyring and Eyring-Powell non-Newtonian fluid models are examined. Comparism between these two diverse liquid models is made with their graphical illustrations on velocity and temperature profiles. It is observed that the velocity is higher for Prandtl Eyring model than Eyring Powell model. Also, the temperature variation for Prandtl number in Eyring-Powell fluid is a little slower than that of Prandtl-Eyring fluid.

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Similarity treatment for MHD free convective boundary layer flow of a class of non-Newtonian fluids

Cited by 4 publications

References 21 publications

Computational analysis of convective heat transfer across a vertical tube

Computational analysis of convective heat transfer across a vertical tube

The Effects of Thermo-Physical Parameters on Free Convective Flow of a Chemically Reactive Power Law Fluid Driven by Exothermal Plate

Unsteady magnetohydrodynamic flow of some non-Newtonian fluids with slip through porous channel

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