Visco-elastic boundary layer flow past a stretching plate and heat transfer

Ahmad, Naseem; Patel, G. S.; Sidappa, B.

doi:10.1007/bf00945114

Cited by 25 publications

(19 citation statements)

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“…For the present incompressible boundary layer flow problem with constant material parameters, the momentum equation (9) is uncoupled from the energy equation (10). Series solutions are presented below for the temperature, heat transfer characteristics, and their asymptotic limits for large Prandtl numbers by utilizing the solution (48) of the momentum equation and solving the energy equation (10) with the boundary conditions (13)- (15).…”

Section: Uniqueness Of the Solutionmentioning

confidence: 99%

“…Rivlin and Ericksen, and Coleman and Noll have presented constitutive relations for the stress tensor as a function of the symmetric part of the velocity gradient and its higher (total) derivatives. Amongst the many models, the Coleman-Noll constitute equation: T ¼ ÀpI þ lA 1 þ a 1 A 2 þ a 2 A 2 1 , which is based on the postulate of gradually fading memory for an incompressible second -order fluid, has received special attention [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30]. Here T is the stress tensor, p is the pressure, I is the unit matrix, l, a 1 , a 2 , are material constants with a 1 < 0, and A 1 and A 2 are the Rivlin-Ericksen tensors defined by:…”

Section: Introductionmentioning

confidence: 99%

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Heat transfer in a viscoelastic boundary layer flow through a porous medium

Pillai

Сай²,

.³

et al. 2004

Computational Mechanics

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This paper examines the viscoelastic fluid flow and heat transfer characteristics in a saturated porous medium over an impermeable stretching surface with frictional heating and internal heat generation or absorption. The heat transfer analysis has been carried out for two different heating processes, namely (i) with prescribed surface temperature (PST-case) and (ii) prescribed surface heat flux (PHF-case). The governing equations for the boundary layer flow problem result similar solutions. For the specified five boundary conditions, it is not possible to solve directly the resulting sixth-order nonlinear ordinary differential equation. For the present incompressible boundary layer flow problem with constant physical parameters, the momentum equation is decoupled from the energy equation. Two closed-form solutions for the momentum equation are obtained and identified the realistic solution of the physical problem. Exact solution for the velocity field and the skin-friction are obtained. Also, the solution for the temperature and the heat transfer characteristics are obtained in terms of Kummer's function. Asymptotic results for the temperature function for large Prandtl numbers are presented. The work due to deformation in the energy equation, which is essential and escaped from the attention of researchers while formulating the visco-elastic boundary layer flow problems, is considered. Drastic variation in the values of heat transfer coefficient is observed when the work due to deformation is ignored.

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Section: Uniqueness Of the Solutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Heat transfer in a viscoelastic boundary layer flow through a porous medium

Pillai

Сай²,

.³

et al. 2004

Computational Mechanics

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“…Tsou et al [2] and Crane [3]. Number of scholars such as A. Naseem [4], N. Ahmad [5] [6], D. Kelly, K. Vijravelu, L. Andrews [7], N. Ahmad and K. Marwah [8], A. M. Subhas and A Joshi [9], Sidhdheshar and Mahabaleswar [10], M. Subhas Abel, P. G. Siddheshwar, Mahantesh M. Nandappaanavar [11] and N. Ahmad, M. Mishra [12] studied the visco-elastic fluid flow past a stretching plate in various variants.…”

Section: Introductionmentioning

confidence: 99%

Unsteady Visco-elastic Boundary Layer Flow Past a Stretching Plate and Heat Transfer

2016

Russian Journal of Mathematical Research. Series A

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A closed form solution to the unsteady boundary layer flow of visco-elastic fluid (Walter's Liquid B Model) past a stretching plate has been obtained. Using the obtained velocity components and , the heat transfer problem has been studied. The behaviour of velocity components and temperature field has been studied though the graphs drawn for various randomly chosen values of time duration and visco-elasticity. Boundary layer thickness, skin friction and the Nusselt number have also been obtained and studied through graphs.

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“…In view of such applications, viscoelastic boundary layer flow along a stretching sheet has been formed the subject of a large number of publications [1][2][3][4][5][6]. Motivated by the work of Vajravelu and Rollins [6], the problem of heat transfer in a viscoelastic fluid over a stretching sheet is studied considering the effects of frictional heating and internal heat generation or absorption.…”

Section: Introductionmentioning

confidence: 99%

“…The local heat transfer coefficient (Nusselt number) can be written as The equation (11) has an analytical solution [1][2][3][4][5][6] …”

Section: Introductionmentioning

confidence: 99%