Buoyancy Effects in Boundary Layer Adjacent to a Continuous, Moving Horizontal Flat Plate

Chen, T. S.; Strobel, Forrest

doi:10.1115/1.3244232

Cited by 81 publications

(35 citation statements)

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“…Combined free and forced convection heat transfer at a stretching sheet with variable temperature and linear velocity was investigated by Vajravelu [12]. Similar analyses were performed numerically by Chen and Strobel [13], and Moutsoglou and Chen [14] for Newtonian fluids under different physical situations. An analysis has been carried out by Chen [15] for laminar mixed convection in a boundary layer adjacent to a vertical continuously stretching sheet.…”

Section: Introductionmentioning

confidence: 77%

“…However, the buoyancy force effects were not considered in the aforementioned studies. Effects of thermal buoyancy on the flow and heat transfer over a stretching sheet were reported by several investigators (see for details [12][13][14][15][16][17][18][19][20]). Combined free and forced convection heat transfer at a stretching sheet with variable temperature and linear velocity was investigated by Vajravelu [12].…”

Section: Introductionmentioning

confidence: 99%

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Unsteady convective boundary layer flow of a viscous fluid at a vertical surface with variable fluid properties

Vajravelu

Prasad

2013

Nonlinear Analysis: Real World Applications

112

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a b s t r a c tIn this paper we present numerical solutions to the unsteady convective boundary layer flow of a viscous fluid at a vertical stretching surface with variable transport properties and thermal radiation. Both assisting and opposing buoyant flow situations are considered. Using a similarity transformation, the governing time-dependent partial differential equations are first transformed into coupled, non-linear ordinary differential equations with variable coefficients. Numerical solutions to these equations subject to appropriate boundary conditions are obtained by a second order finite difference scheme known as the Keller-Box method. The numerical results thus obtained are analyzed for the effects of the pertinent parameters namely, the unsteady parameter, the free convection parameter, the suction/injection parameter, the Prandtl number, the thermal conductivity parameter and the thermal radiation parameter on the flow and heat transfer characteristics. It is worth mentioning that the momentum and thermal boundary layer thicknesses decrease with an increase in the unsteady parameter.

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Section: Introductionmentioning

confidence: 77%

Section: Introductionmentioning

confidence: 99%

Unsteady convective boundary layer flow of a viscous fluid at a vertical surface with variable fluid properties

Vajravelu

Prasad

2013

Nonlinear Analysis: Real World Applications

112

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“…Combined free and forced convection heat transfer at a stretching sheet with variable temperature and linear velocity was investigated by Vajravelu [25]. Similar analyses were performed numerically by Chen and Strobel [26], and Moutsoglou and Chen [27] for Newtonian fluids under different physical situations. Recently an analysis has been carried out by Chen et al [29] for laminar mixed convection in a boundary layer adjacent to a vertical continuously stretching sheet.…”

Section: Introductionmentioning

confidence: 77%

“…However, the buoyancy force effects were not considered in the aforementioned studies. Effects of thermal buoyancy force on Newtonian flow and heat transfer over a stretching sheet were reported by several investigators (Acrivos [24], Vajravelu [25], Chen and Strobel [26], Moutsoglou and Chen [27], Chen [28], Afifty et al [29], Chen et al, [30], M. Ali [31], Vajravelu and Hadjinicolaou [32], Makinde and Aziz [33], Makinde [34,35]). Combined free and forced convection heat transfer at a stretching sheet with variable temperature and linear velocity was investigated by Vajravelu [25].…”

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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“…Effects of thermal buoyancy force on Newtonian flow and heat transfer over a stretching sheet have been reported by several investigators. Combined forced and free convection in boundary layers adjacent to a continuous horizontal sheet maintained at a constant temperature and moving with a constant velocity was investigated numerically by Chen and Stobel [11]. A similar analysis was carried out by Moutsoglou and Chen [12] for an inclined continuous sheet with uniform wall temperature or uniform surface heat flux.…”

Section: Introductionmentioning

confidence: 97%

Mixed convection heat transfer over a non-linear stretching surface with variable fluid properties

Prasad

Vajravelu

Datti

2010

International Journal of Non-Linear Mechanics

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a b s t r a c tThis article presents a numerical solution for the steady two-dimensional mixed convection MHD flow of an electrically conducting viscous fluid over a vertical stretching sheet, in its own plane. The stretching velocity and the transverse magnetic field are assumed to vary as a power function of the distance from the origin. The temperature dependent fluid properties, namely, the fluid viscosity and the thermal conductivity are assumed to vary, respectively, as an inverse function of the temperature and a linear function of the temperature. A generalized similarity transformation is introduced to study the influence of temperature dependent fluid properties. The transformed boundary layer equations are solved numerically, using a finite difference scheme known as Keller Box method, for several sets of values of the physical parameters, namely, the stretching parameter, the temperature dependent viscosity parameter, the magnetic parameter, the mixed convection parameter, the temperature dependent thermal conductivity parameter and the Prandtl number. The numerical results thus obtained for the flow and heat transfer characteristics reveal many interesting behaviors. These behaviors warrant further study of the effects of the physical parameters on the flow and heat transfer characteristics. Here it may be noted that, in the case of the classical Navier-Stokes fluid flowing past a horizontal stretching sheet, McLeod and Rajagopal (1987) [42] showed that there exist an unique solution to the problem. This may not be true in the present case. Hence we would like to explore the non-uniqueness of the solution and present the findings in the subsequent paper.

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Buoyancy Effects in Boundary Layer Adjacent to a Continuous, Moving Horizontal Flat Plate

Cited by 81 publications

References 0 publications

Unsteady convective boundary layer flow of a viscous fluid at a vertical surface with variable fluid properties

Unsteady convective boundary layer flow of a viscous fluid at a vertical surface with variable fluid properties

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

Mixed convection heat transfer over a non-linear stretching surface with variable fluid properties

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