Boundary layer flow and heat transfer over an unsteady stretching vertical surface

Ishak, Anuar Mohd; Nazar, Roslinda Mohd.; Pop, Ioan

doi:10.1007/s11012-008-9176-9

Cited by 259 publications

(126 citation statements)

References 18 publications

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“…It is clear from these figures that an increase in unsteadiness parameter slowdowns the fluid motion but suppress the temperature and concentration profiles. This agrees with the results obtained by Ishak et al [2]. From Fig.…”

Section: Du Srsupporting

confidence: 94%

“…Table 2 depicts the comparison of present results within the existed literature (Ishaket Table 1: The influence of various physical parameters on skin friction, heat and mass transfer coeflcients. [2]). This shows the correctness of our results and the numerical technique we adopted.…”

Section: Resultsmentioning

confidence: 99%

“…Ishak et al [2] investigated the heat transfer characteristics of the boundary layer flow past an unsteady vertical stretching sheet. Through this study, it is found that increase in unsteadiness parameter decreases the velocity, temperature profiles.…”

Section: Introductionmentioning

confidence: 99%

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Numerical study of chemically reacting unsteady Casson fluid flow past a stretching surface with cross diffusion and thermal radiation

et al. 2017

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Abstract:The problem of an unsteady MHD Casson fluid flow towards a stretching surface with cross diffusion effects is considered. The governing partial differential equations are converted into a set of nonlinear coupled ordinary differential equations with the help of suitable similarity transformations. Further, these equations have been solved numerically by using Runge-Kutta fourth order method along with shooting technique. Finally, we studied the influence of various non-dimensional governing parameters on the flow field through graphs and tables. Results indicate that Dufour and Soret numbers have tendency to enhance the fluid velocity. It is also found that Soret number enhances the heat transfer rate where as an opposite result is observed with Casson parameter. A comparison of the present results with the previous literature is also tabulated to show the accuracy of the results.

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Section: Du Srsupporting

confidence: 94%

Section: Resultsmentioning

confidence: 99%

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Numerical study of chemically reacting unsteady Casson fluid flow past a stretching surface with cross diffusion and thermal radiation

et al. 2017

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“…Mukhopadhyay [23] analyzed the effect of variable fluid properties on the unsteady fluid flow and heat transfer over a stretching sheet in the presence of suction. Ishak et al [24] investigated the unsteady two-dimensional mixed convection boundary layer flow and heat transfer at a vertical stretching sheet. Kousar and Liao [25] presented an analytical solution to the unsteady non-similarity boundary-layer flows caused by an impulsively stretching flat sheet.…”

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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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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“…Crane [2] extended the work of Sakiadis [1] and analyzed a steady two-dimensional boundary layer flow caused by a stretching sheet moving with a velocity linearly varying with the distance from a fixed point on the sheet. Many investigators have extended the work of Crane to study heat and mass transfer under different physical situations [3][4][5][6][7].…”

Section: Introductionmentioning

confidence: 99%

Heat Transfer in an Upper Convected Maxwell Fluid with Fluid Particle Suspension

Vajravelu

Prasad

Santhi

2015

Adv. Appl. Math. Mech.

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Abstract. An analysis is carried out to study the magnetohydrodynamic (MHD) flow and heat transfer characteristics of an electrically conducting dusty non-Newtonian fluid, namely, the upper convected Maxwell (UCM) fluid over a stretching sheet. The stretching velocity and the temperature at the surface are assumed to vary linearly with the distance from the origin. Using a similarity transformation, the governing nonlinear partial differential equations of the model problem are transformed into coupled non-linear ordinary differential equations and the equations are solved numerically by a second order finite difference implicit method known as the Keller-box method. Comparisons with the available results in the literature are presented as a special case. The effects of the physical parameters on the fluid velocity, the velocity of the dust particle, the density of the dust particle, the fluid temperature, the dust-phase temperature, the skin friction, and the wall-temperature gradient are presented through tables and graphs. It is observed that, Maxwell fluid reduces the wall-shear stress. Also, the fluid particle interaction reduces the fluid temperature in the boundary layer. Furthermore, the results obtained for the flow and heat transfer characteristics reveal many interesting behaviors that warrant further study on the non-Newtonian fluid flow phenomena, especially the dusty UCM fluid flow phenomena.

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Boundary layer flow and heat transfer over an unsteady stretching vertical surface

Cited by 259 publications

References 18 publications

Numerical study of chemically reacting unsteady Casson fluid flow past a stretching surface with cross diffusion and thermal radiation

Numerical study of chemically reacting unsteady Casson fluid flow past a stretching surface with cross diffusion and thermal radiation

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

Heat Transfer in an Upper Convected Maxwell Fluid with Fluid Particle Suspension

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