An exact solution to the unsteady free-convection boundary-layer flow past an impulsively started vertical surface with newtonian heating

Chaudhary, R. C.; Jain, Preeti

doi:10.1007/s10891-007-0127-4

Cited by 74 publications

(88 citation statements)

References 14 publications

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“…We can conclude that this method works efficiently and we are also confident that the results presented here are accurate. Table 4 (a) Comparison on the values of θ(0) and −θ (0) from the present solution of (15) for different boundary conditions with Pr = 7 and K = 1 (micropolar fluid). (15) for different boundary conditions with Pr = 7 and K = 1 (micropolar fluid).…”

Section: Resultsmentioning

confidence: 99%

“…The asymptotic solution near the leading edge and the full numerical solution along the whole plate domain have been obtained numerically, whilst the asymptotic solution far downstream along the plate has been obtained analytically. Chaudhary and Jain [15,16] studied the unsteady free convection boundary layer flow past an This configuration occurs in many important engineering devices, for example, in heat exchanger where the conduction in solid tube wall is greatly influenced by the convection in the fluid flowing over it. Furthermore, for conjugate heat transfer around fins where the conduction within the fin and the convection in the fluid surrounding it must be simultaneously analyzed in order to obtain the vital design information and also in convection flow setup when the bounding surfaces absorb heat by solar radiation [15,16].…”

Section: Introductionmentioning

confidence: 99%

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Mixed Convection Boundary Layer Flow from a Solid Sphere with Newtonian Heating in a Micropolar Fluid

Salleh

Pop

2010

SRX Physics

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The steady mixed convection boundary layer flow from a solid sphere in a micropolar fluid, generated by Newtonian heating in which the heat transfer from the surface is proportional to the local surface temperature, is considered. The governing boundary layer equations are first transformed into a system of nondimensional equations via the non-dimensional variables, and then into nonsimilar equations before they are solved numerically using an implicit finite-difference scheme known as the Keller-box method. Numerical solutions are obtained for the skin friction coefficient, wall temperature and heat transfer coefficient, as well as the velocity and temperature profiles with several parameters considered, namely the mixed convection parameter, the material or micropolar parameter, and the Prandtl number.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Mixed Convection Boundary Layer Flow from a Solid Sphere with Newtonian Heating in a Micropolar Fluid

Salleh

Pop

2010

SRX Physics

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“…Muthucumaraswamy and Ganesan [8] have studied the radiation effects on the flow past an impulsively started infinite vertical plate with variable temperature. An exact solution of the unsteady free-convection boundary-layer flow past an impulsively started vertical surface with Newtonian heating have been explained by Chaudhary and Jain [9,10]. Mebine and Adigio [11] have investigated the unsteady free convection flow with thermal radiation past a vertical porous plate with Newtonian heating.…”

Section: Introductionmentioning

confidence: 99%

Radiation Effects on Unsteady Free Convection Flow Past a Vertical Plate with Newtonian Heating

Das¹,

Mandal²,

Jana³

2012

IJCA

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The unsteady free convection flow with thermal radiation past a vertical plate with Newtonian heating has been studied. The governing equations have been solved numerically by the implicit finite difference method of Crank-Nicolson's type. The variations of the fluid velocity and temperature are presented graphically. It is found that the fluid velocity decreases near the plate and it increases away from the plate with an increase in either Prandtl number or radiation parameter. It is also found that the fluid velocity increases with an increase in either Grashof number or time. An increase in either Prandtl number or radiation parameter leads to fall in the fluid temperature. Further, it is seen that the shear stress at the plate decreases with an increase in either radiation parameter or Prandtl number. The rate of heat transfer decreases with an increase in Prandtl number for fixed values of radiation parameter and time while it increases with an increase in either radiation parameter or time.

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“…We evaluated the constants involved in the transformed variables and the transformed velocity and temperature are given by 2 2 We are taking inverse Laplace transforms (Bromwich contour integral formula) in the equations (31) and (32). Therefore we obtained the expressions for the velocity and temperature.…”

Section:   mentioning

confidence: 99%

Hall effects on MHD Convective flow of Visco-elastic fluid through a rotating porous channel

Raju¹,

Prasad²

2016

jusps-A

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In this paper, we consider hydromagnetic convective flow of an electrically conducting visco-elastic fluid through a rotating porous channel taking hall current into account. The governing equations are framed using Brinkman model. The exact solutions of the velocity and the temperature distributions are evaluated analytically using Laplace transform technique and which consist of the both steady and transient states. Thought is centered on the physical character of the solutions, and the construction of the various kinds of boundary layers outward appearance on the plates. The ultimate steady state velocity and temperature distributions are numerically discussed for various values of the flow parameters. The shear stresses and the Nusselt number are tabulated and discussed.

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An exact solution to the unsteady free-convection boundary-layer flow past an impulsively started vertical surface with newtonian heating

Cited by 74 publications

References 14 publications

Mixed Convection Boundary Layer Flow from a Solid Sphere with Newtonian Heating in a Micropolar Fluid

Mixed Convection Boundary Layer Flow from a Solid Sphere with Newtonian Heating in a Micropolar Fluid

Radiation Effects on Unsteady Free Convection Flow Past a Vertical Plate with Newtonian Heating

Hall effects on MHD Convective flow of Visco-elastic fluid through a rotating porous channel

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