Heat transfer in a viscoelastic fluid over a stretching sheet

Vajravelu, K.; Rollins, David

doi:10.1016/0022-247x(91)90280-d

Cited by 87 publications

(45 citation statements)

References 9 publications

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“…These fluids often obey non-linear constitutive equations and the complexity in the equations is the main culprit for the lack of exact analytical solutions. For example, viscoelastic fluid models considered in these works are simple models, such as second order fluid model, and Walters' model (Rajagopal et al [12], Siddappa and Abel [13], Dandapat and Gupta [14], Andersson [15], Char [16], Cortell [17], Vajravelu and Rollins [18]), which are known to be accurate only for weakly elastic fluids subjected to slowly varying flows. These two models are known to violate certain rules of thermodynamics.…”

Section: Introductionmentioning

confidence: 99%

Convection heat transfer in a Maxwell fluid at a non-isothermal surface

2011

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Abstract:Analysis is carried out to study the convection heat transfer in an upper convected Maxwell fluid at a nonisothermal stretching surface. This is a generalization of the paper by Sadeghy et al. [21] to study the effects of free convection currents, variable thermal conductivity and the variable temperature at the stretching surface. Unlike in Sadeghy et al., here the governing nonlinear partial differential equations are coupled. These coupled equations are transformed in to a system of nonlinear ordinary differential equations and are solved numerically by a finite difference scheme (known as the Keller-Box method) and the numerical results are presented through graphs and tables for a wide range of governing parameters. The results obtained for the flow and heat transfer characteristics reveal many interesting behaviors that warrant further study of nonlinear convection heat transfer. 44.20.+b, +44.05.+e, 45.10.-b, 44.25.+a, 46.15.-x, 47.10.ad, 47.15.-x, 47.11.- PACS (2008):

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Section: Introductionmentioning

confidence: 99%

Convection heat transfer in a Maxwell fluid at a non-isothermal surface

2011

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“…The physical situation for mixed convection had discussed by Vajravelu and Rollins (1991). Under the Boussinesq approximation and for steady state flow conditions, the boundary layer equations were given by Harris (1977), and extension by this study uv 0 xy…”

Section: Flow Field Analysismentioning

confidence: 77%

Food Extrusion Energy Conversion Conjugate Ohmic Heat and Mass Transfer for Stagnation Non-Newtonian Fluid Flow with Physical Multimedia Features

Lin¹,

Hsiao²

2015

AJHMT

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The energy conversion conjugate conduction-convection Ohmic mixed heat and mass transfer of an incompressible viscoelastic fluid on thermal forming stretching sheet has been studied. The present study has been applied similarity transformation method to change the partial differential equations transform to a set of nonlinear ordinary differential equations, and it has also been used an implicit finite-difference method to solve the system's equations. The numerical calculating results for the conjugate heat transfer energy conversion problem which have been carried out as functions of viscoelastic number E, Prandtl number Pr and buoyancy parameter Gr, Gc, etc. The parameters of E, E1, Gr, Gc and Pr are important energy conversion factors in this study, it should be produced greater heat transfer energy conversion effect with a larger values of E, E1, Gr, Gc or Pr, but the parameter M or Ec will be reduced the heat transfer energy conversion effect. For mass transfer energy conversion processing, the Schemidt number Sc or reaction parameter Rc will be increased the mass transfer energy conversion effects. For heat conduction energy conversion aspect, the convection-conduction number Ncc will be increased the heat conduction energy conversion effect. Because of present study has been studied about many parameters physical features, so that it is also belong to a multimedia physical feature study work.

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“…Various investigators [2][3][4][5][6] have studied the flow over a stretching surface for Newtonian fluids. The authors [7][8][9][10] also extended such studies for non-Newtonian fluids. The authors [11][12][13][14][15][16] also considered flow over a stretching surface.…”

Section: Introductionmentioning

confidence: 95%

Series solution of hydromagnetic flow and heat transfer with Hall effect in a second grade fluid over a stretching sheet

2009

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In this paper, we not only corrected the equation but found a useful analytic solution to this important problem. We also extended the problem for hydromagnetic flow and heat transfer with Hall effect. The explicit analytic homotopy solution for the velocity field and heat transfer are presented. Graphs for the velocity field, skin friction coefficient, and rate of heat transfer are presented. Tables for the skin friction coefficient and rate of heat transfer are also presented. The convergence of the solution is also properly checked and discussed.

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Heat transfer in a viscoelastic fluid over a stretching sheet

Cited by 87 publications

References 9 publications

Convection heat transfer in a Maxwell fluid at a non-isothermal surface

Convection heat transfer in a Maxwell fluid at a non-isothermal surface

Food Extrusion Energy Conversion Conjugate Ohmic Heat and Mass Transfer for Stagnation Non-Newtonian Fluid Flow with Physical Multimedia Features

Series solution of hydromagnetic flow and heat transfer with Hall effect in a second grade fluid over a stretching sheet

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