Effects of thermal radiation on micropolar fluid flow and heat transfer over a porous shrinking sheet
01 May 2012-International Journal of Heat and Mass Transfer (Pergamon)-Vol. 55, Iss: 11, pp 2945-2952
TL;DR: In this article, the effects of thermal radiation on the flow of micropolar fluid and heat transfer past a porous shrinking sheet is investigated and self-similar ODEs are obtained using similarity transformations from the governing PDEs and are then solved numerically by very efficient shooting method.
About: This article is published in International Journal of Heat and Mass Transfer.The article was published on 2012-05-01. It has received 189 citations till now. The article focuses on the topics: Heat transfer & Thermal conduction.
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TL;DR: In this paper, an analysis has been carried out for the three dimensional flow of viscous nanofluid in the presence of partial slip and thermal radiation effects, where the flow is induced by a permeable stretching surface.
196 citations
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...[15] examined effects of thermal radiation on micropolar fluid flow and heat transfer over a porous shrinking sheet....
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TL;DR: In this paper, a boundary layer analysis is presented for non-Newtonian fluid flow and heat transfer over a nonlinearly stretching surface using the Casson fluid model, where the governing partial differential equations corresponding to the momentum and energy equations are converted into non-linear ordinary differential equations.
Abstract: A boundary layer analysis is presented for non-Newtonian fluid flow and heat transfer over a nonlinearly stretching surface. The Casson fluid model is used to characterize the non-Newtonian fluid behavior. By using suitable transformations, the governing partial differential equations corresponding to the momentum and energy equations are converted into non-linear ordinary differential equations. Numerical solutions of these equations are obtained with the shooting method. The effect of increasing Casson parameter is to suppress the velocity field. However the temperature is enhanced with the increasing Casson parameter.
184 citations
TL;DR: In this paper, the heat transfer and entropy generation in a magnetohydrodynamic flow of Al 2 O 3 -water nanofluid through a porous vertical microchannel with nonlinear radiative heat flux were investigated numerically.
125 citations
TL;DR: In this article, the authors investigated the micropolar fluid flow due to a permeable stretching sheet and the resulting heat transfer and found unique solutions in exact formulas for the associated boundary layer equations.
Abstract: The present work investigates the micropolar fluid flow due to a permeable stretching sheet and the resulting heat transfer. Unlike the existing numerical works on the flow phenomenon in the literature, the prime interest here is to analytically work out shape of the solutions and identify whether they are unique. Indeed, unique solutions are detected and presented in the exact formulas for the associated boundary layer equations. Temperature field influenced by the microrotation is also mathematically resolved in the cases of constant wall temperature, constant heat flux and Newtonian heating. To discover the salient physical features of many mechanisms acting on the considered problem, it is adequate to have the analytical velocity and temperature fields and also closed-form skin friction/couple stress/heat transfer coefficients, all as given in the current paper. For instance, the practically significant rate of heat transfer is represented by a single formula valid for all three temperature cases.
122 citations
TL;DR: In this paper, the boundary layer flow of an Eyring-Powell fluid over a stretching sheet in an unbounded domain is analyzed using the collocation method combined with a special technique.
Abstract: The aim of this article was to apply collocation method for boundary layer flow of an Eyring-Powell fluid over a stretching sheet in unbounded domain. The collocation method combined with a special technique, has been successfully applied for nonlinear equations of momentum with infinite boundary values. The solution for velocity is computed by applying the collocation method. The governing nonlinear differential equations are reduced to the ordinary differential equations by similarity transformations. The physical significance of different parameters on the velocity profile is discussed through graphical illustrations. It is noticed that the velocity increases by increasing the Eyring-Powell fluid material parameter (e) whereas it decreases by increasing the fluid material parameter (δ).
121 citations
References
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TL;DR: In this paper, the authors derived equations of motion, constitutive equations and boundary conditions for a class of fluids named micropolar fluids, which respond to micro-rotational motions and spin inertia and therefore can support couple stress and distributed body couples.
Abstract: : Equations of motion, constitutive equations and boundary conditions are derived for a class of fluids named micropolar fluids. These fluids respond to micro-rotational motions and spin inertia and therefore can support couple stress and distributed body couples. Thermodynamical restrictions are studied in detail and field equations are obtained for the density, velocity vector and micro-rotation vector. The system is solved for a channel flow exhibiting certain interesting phenomena.
2,256 citations
"Effects of thermal radiation on mic..." refers background or methods in this paper
...The pioneering work of Eringen [2] was extended in boundary layer theory by Peddieson and McNitt [3]....
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...Eringen [2] also developed a subclass of microfluids, called micropolar fluids....
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TL;DR: In this paper, a similarity transform was used to reduce the Navier-Stokes equations to a set of non-linear ordinary differential equations, which are then integrated numerically.
Abstract: The stagnation flow towards a shrinking sheet is studied. A similarity transform reduces the Navier–Stokes equations to a set of non-linear ordinary differential equations which are then integrated numerically. Both two-dimensional and axisymmetric stagnation flows are considered. It is found that solutions do not exist for larger shrinking rates and may be non-unique in the two-dimensional case. The non-alignment of the stagnation flow and the shrinking sheet complicates the flow structure. Convective heat transfer decreases with the shrinking rate due to an increase in boundary layer thickness.
610 citations
"Effects of thermal radiation on mic..." refers background in this paper
...On the other hand, Wang [37] investigated the stagnation flow towards a shrinking sheet and obtained dual solutions for some values of the ratio of shrinking and stagnation flow rates....
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...Wang’s [37] problem was extended by many researchers showing various aspects of shrinking sheet flow [38–47]....
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TL;DR: In this paper, the viscous flow induced by a shrinking sheet is studied and its existence and uniqueness are proved. Exact solutions, both numerical and in closed form, are found.
Abstract: The viscous flow induced by a shrinking sheet is studied. Existence and (non)uniqueness are proved. Exact solutions, both numerical and in closed form, are found.
589 citations
TL;DR: In this article, the boundary layer flow over a semi-infinite flat plate is studied and the partial differential equations of motion are reduced to 2 couple differential equations and numerical solutions for different values of the parameters are obtained.
523 citations
TL;DR: In this article, a similarity transform was used to reduce the Navier-Stokes equations to a nonlinear ordinary differential equation governed by a non-dimensional unsteady parameter.
Abstract: A fluid film lies on an accelerating stretching surface. A similarity transform reduces the unsteady Navier-Stokes equations to a nonlinear ordinary differential equation governed by a nondimensional unsteady parameter. Asymptotic and numerical solutions are found. The results represent rare exact similarity solutions of the unsteady Navier-Stokes equations
493 citations