Melting Phenomenon in MHD Stagnation Point Flow of Dusty Fluid over a Stretching Sheet in the Presence of Thermal Radiation and Non-Uniform Heat Source/Sink

Prasannakumara, B. C.; Gireesha, B. J.; Manjunatha, P. T.

doi:10.1080/15502287.2015.1047056

Cited by 59 publications

(31 citation statements)

References 30 publications

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“…As a consequence of this, the effects of thermal radiation for different geometrical config-urations have been investigated by various researchers such as Viskanta and Grosh (1962); Chen et al (1984); Elbashbeshy (2000); Raptis et al (2004);Ouaf (2005); Hayat et al (2007); Sajid and Hayat (2008); El-Aziz (2009); Jat and Chaudhary (2010); Akbar et al (2013); Ene and Marinca (2015); Haq et al (2015); Prasannakumara et al (2015); Sheikholeslami et al (2016); Narayana and Babu (2016); Rehman et al (2017b) and many others.…”

Section: Introductionmentioning

confidence: 99%

Homotopy Analysis for MHD Hiemenz Flow in a Porous Medium With Thermal Radiation, Velocity and Thermal Slips Effects

Bano¹,

Sayyed²

2018

Frontiers in Heat and Mass Transfer

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The present study deals with the two dimensional steady laminar forced MHD Hiemenz flow past a flat plate in a porous medium. The effects of thermal radiation and partial slips on the flow field have been investigated under the variable wall temperature condition of the plate. The governing equations have been transformed into a set of coupled non-linear ordinary differential equations (ODEs) by using suitable similarity transformations. These equations have been solved analytically by using homotopy analysis method (HAM). The effects of Prandtl number, suction/blowing parameter, permeability parameter, velocity slip parameter, radiation parameter, magnetic parameter, wall temperature exponent and thermal slip on velocity and temperature profiles have also been studied graphically. Our results have been validated with the help of results that have already been published.

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Section: Introductionmentioning

confidence: 99%

Homotopy Analysis for MHD Hiemenz Flow in a Porous Medium With Thermal Radiation, Velocity and Thermal Slips Effects

Bano¹,

Sayyed²

2018

Frontiers in Heat and Mass Transfer

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“…Tien and Yen [13] analyzed convective heat transfer of a melting body. This study also spreads out the recent work of [14]- [16] to examine the marked effects of melting heat transfer on the flow system.…”

Section: Introductionmentioning

confidence: 85%

Melting heat transfer of hyperbolic tangent fluid over a stretching sheet with fluid particle suspension and thermal radiation

Kumar¹,

Gireesha²,

Rudraswamy³

et al. 2017

Communications in Numerical Analysis

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The current investigation deals with melting heat transport in hyperbolic tangent fluid past a stretching sheet with fluid particle suspension and thermal radiation. Numerical solution is obtained via shooting technique after the applying of similarity variables to the governing partial equations. The effects of key parameters like magnetic parameter, fluid particle interaction parameter, Eckert number, Prandtl number, Weissenberg number and melting parameter are analyzed and discussed in detail with help of graphs and tables. Finally, the numerical values of the friction co-efficient and local Nusselt number are tabulated. Checked our results with existing work found excellent agreement. Results reveals that in the presence of melting parameter, the higher values of W e and n depreciates the rate of heat transfer.

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“…Manjunatha et al [37] have studied the heat transfer analysis of steady two dimensional flow of conducting dusty fluid over a stretching cylinder immersed in a porous media under the influence of non-uniform source/sink. Recently, Prasannakumara et al [38] analyzed melting phenomenon in MHD stagnation point flow of dusty fluid over a stretching sheet in the presence of thermal radiation and nonuniform heat source/sink. Although the flow of dusty fluid over a stretching plate has been considered extensively in the literature, no work has been reported on the problem of effect of thermal stratification on flow and heat transfer of two-phase flow over stretching sheet.…”

Section: Introductionmentioning

confidence: 99%

Boundary layer flow of dusty fluid over a radiating stretching surface embedded in a thermally stratified porous medium in the presence of uniform heat source

Gireesha

Venkatesh

Shashikumar³

et al. 2017

Nonlinear Engineering

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Numerical investigation for the effect of thermal stratification on MHD flow and heat transfer of dusty fluid over a vertical stretching sheet embedded in a thermally stratified porous medium in the presence of uniform heat source and thermal radiation. The governing equations for the problem were reduced in to dimensionless ordinary differential equations using suitable similarity transformations. The transformed nonlinear ordinary differential equations are numerically solved by applying efficient RungeKutta Fehlberg-45 Method with shooting technique. The effects of various flow controlling parameters such as Prandtl number, heat source/sink parameter, fluid particle interaction parameter, heat source parameter, radiation parameter on velocity and temperature distributions of both fluid and dust phases are depicted graphically. Finally, the numerical results are compared and found to be in good agreement with previously published results under special cases. The results indicate that the fluid phase velocity is always greater than that of the particle phase and thermal stratification significantly affects the surface shear stress as well as the surface heat transfer.

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Melting Phenomenon in MHD Stagnation Point Flow of Dusty Fluid over a Stretching Sheet in the Presence of Thermal Radiation and Non-Uniform Heat Source/Sink

Cited by 59 publications

References 30 publications

Homotopy Analysis for MHD Hiemenz Flow in a Porous Medium With Thermal Radiation, Velocity and Thermal Slips Effects

Homotopy Analysis for MHD Hiemenz Flow in a Porous Medium With Thermal Radiation, Velocity and Thermal Slips Effects

Melting heat transfer of hyperbolic tangent fluid over a stretching sheet with fluid particle suspension and thermal radiation

Boundary layer flow of dusty fluid over a radiating stretching surface embedded in a thermally stratified porous medium in the presence of uniform heat source

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