Flow of a viscous incompressible fluid of temperature dependent viscosity past a permeable wedge with uniform surface heat flux

Hossain, Md. Anwar; Munir, Md.Sazzad; Hafiz, Mohd. Zulfiquar; Takhar, H. S.

doi:10.1007/s002310000079

Cited by 19 publications

(10 citation statements)

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“…The first attempt to solve the Falkner-Skan problem including the variation of viscosity with temperature was made by Herwing and Wickern [6] who used an asymptotic expansion method valid only for small heat transfer rates. Hossain et al [7] studied the flow of a fluid with temperature dependent viscosity past a permeable wedge with uniform surface heat flux. In another paper Hossain et al [8] extended the previous work considering both viscosity and thermal conductivity as functions of temperature.…”

Section: Introductionmentioning

confidence: 99%

The Falkner–Skan flow with constant wall temperature and variable viscosity

Pantokratoras

2006

International Journal of Thermal Sciences

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Section: Introductionmentioning

confidence: 99%

The Falkner–Skan flow with constant wall temperature and variable viscosity

Pantokratoras

2006

International Journal of Thermal Sciences

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“…It can be seen that Eqs. (14) to (17) form coupled non-linear system of ordinary differential equations in which ξ may be considered as a parameter. These equations are now solved numerically employing Nachtsheim-Swigert [26] iteration technique in conjunction with a shooting procedure to determine the unknown boundary conditions, f (0, ξ) and g (0, ξ) at every ξ station.…”

Section: Local Nonsimilarity Methods (Lns)mentioning

confidence: 99%

Hydromagnetic flow of viscous incompressible fluid past a wedge with permeable surface

2009

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Flow of a viscous, electrically conducting fluid past a wedge having permeable surface is analyzed. A constant transpiration through the wedge surface is assumed. The equations governing the flow and the magnetic field being reduced to local non-similarity equations are solved numerically. The implicit finite difference method, as well as the local non-similarity method is being used in finding the solutions of the reduced equations against the transpiration parameter, ξ. Perturbation solutions for small and large ξ values are also obtained. Effect of the physical parameters, such as, the magnetic force parameter, S, the magnetic Prandtl number, Pm and free stream velocity gradient, n, on the local skin-friction coefficient, f (0, ξ), and the local current density coefficient, g (0, ξ), are shown graphically. It is found that the perturbation solutions agreed excellently with other solutions at the two extreme ranges of ξ values. From the present investigation we further observe that, incase of withdrawal of fluid both the momentum and magnetic boundary layers decrease with the increase of ξ. On the other hand these layers increase with ξ value when fluid is being injected trough the surface. Further we notice that there is an onset of reverse flow in the down-stream region in case of blowing of fluid and the starting point of this flow, approximately, is ξ = −0.6. 175Later, Davies [3] investigated the boundary layer flow of viscous, electrically conducting liquid in the neighborhood of a semi infinite flat plate, considering the fact that the flow is opposed by magnetodynamic pressure gradient. Further assumptions were considered as the flat plate was non-magnetic and magnetic field well away from the plate was parallel to the surface. This is an extension of Falkner and Skan problem for electrically conducting fluid. In this analysis the adverse magnetodynamic pressure was taken of the form Cx n . Considering this fact an investigation has been made of viscous stress at the surface and also critical value of C and n, when this viscous stress vanishes. The Falkner-Skan problem to magnetohydrodynamic flow past a nonconducting body by imposing a magnetic field whose lines of force are parallel to the undisturbed streamlines had been studied by Gribben [4]. Later, Hildyard [5] found that the magnetic-field boundary condition used by Gribben was inappropriate. After doing the necessary correction he obtained the asymptotic series solutions for large and small values of the magnetic Prandtl number.An initial attempt to consider heat transfer problem for such flows has been made by Ramamoorthy [6]. A more thorough study of the above problem, which takes into account both viscous and Ohmic heating is attempted by Tan et al. [7]. The same problem was then extended by Tan [8] including the mass transfer across the surface. Later, Chawla [9] studied the effect of free stream fluctuations on the flow over a semi-infinite plate, with an aligned magnetic field, using von Kármán-Pohlhausen technique.Since the boundary layer ...

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“…Kumari and Gorla [8] carried out a boundary layer analysis considering the combined convection along a vertical non-isothermal wedge situated in a fluid-saturated porous medium. Hossain et al [9] studied the effect of forced flow of an incompressible fluid past a horizontal wedge subject to heat flux boundary condition. Kumari et al [10] examined the magnetohydrodynamic mixed convection flow over a vertical porous wedge.…”

Section: Introductionmentioning

confidence: 99%

Conjugate Heat and Mass Transfer on Fluctuating Mixed Convection Flow along a Vertical Wedge with Thermal Radiation

Firoza

Roy

Hossain

2017

International Journal of Applied Mechanics and Engineering

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We study the boundary layer characteristics of heat and mass transfer flow past a vertical wedge in the presence of thermal radiation. The surface temperature and the species concentration are assumed to be oscillating in the magnitude but not in the direction of oncoming flow velocity. The governing equations have been solved by two distinct methods, namely, the straightforward finite difference method for the entire frequency range, and the series solution for the low frequency range and the asymptotic series expansion method for the high frequency range. Numerical solutions have been presented in terms of the amplitudes and phase angles of the skin friction, the rate of heat transfer and the mass transfer with the variations of Richardson's number, the Prandtl number, the conduction-radiation parameter, the surface temperature parameter and the Schmidt number. Furthermore, the effects of these parameters are examined in terms of the transient skin friction, heat transfer and mass transfer.

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Flow of a viscous incompressible fluid of temperature dependent viscosity past a permeable wedge with uniform surface heat flux

Cited by 19 publications

References 0 publications

The Falkner–Skan flow with constant wall temperature and variable viscosity

The Falkner–Skan flow with constant wall temperature and variable viscosity

Hydromagnetic flow of viscous incompressible fluid past a wedge with permeable surface

Conjugate Heat and Mass Transfer on Fluctuating Mixed Convection Flow along a Vertical Wedge with Thermal Radiation

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