MAGNETOHYDRODYNAMIC VISCOUS FLOW OVER A SHRINKING SHEET IN A SECOND-ORDER SLIP FLOW MODEL

The problem of steady laminar three-dimensional stagnation-point flow on a permeable stretching/shrinking sheet with second order slip flow model is studied numerically. Similarity transformation has been used to reduce the governing system of nonlinear partial differential equations into the system of ordinary (similarity) differential equations. The transformed equations are then solved numerically using the \texttt{bvp4c} function in MATLAB. Multiple solutions are found for a certain range of the governing parameters. The effects of the governing parameters on the skin friction coefficients and the velocity profiles are presented and discussed. It is found that the second order slip flow model is necessary to predict the flow characteristics accurately.

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Analytical and numerical studies on heat transfer of a nanofluid over a stretching/shrinking sheet with second-order slip flow model

International Journal of Mechanical and Materials Engineering ◽

10.1186/s40712-016-0054-2 ◽

2016 ◽

Vol 11 (1) ◽

Cited By ~ 17

Author(s):

M. M. Rashidi ◽

A. K. Abdul Hakeem ◽

N. Vishnu Ganesh ◽

B. Ganga ◽

M. Sheikholeslami ◽

...

Keyword(s):

Heat Transfer ◽

Flow Model ◽

Slip Flow ◽

Second Order ◽

Shrinking Sheet ◽

Numerical Studies

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Boundary layer flow past a permeable shrinking sheet in a micropolar fluid with a second order slip flow model

European Journal of Mechanics - B/Fluids ◽

10.1016/j.euromechflu.2014.05.004 ◽

2014 ◽

Vol 48 ◽

pp. 115-122 ◽

Cited By ~ 10

Author(s):

Natalia C. Roşca ◽

Ioan Pop

Keyword(s):

Boundary Layer ◽

Boundary Layer Flow ◽

Micropolar Fluid ◽

Flow Model ◽

Slip Flow ◽

Second Order ◽

Shrinking Sheet ◽

Flow Past ◽

Layer Flow

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Second Order Slip Flow Effects on Heat Transfer Performance of Microchannels

ASME 2009 Second International Conference on Micro/Nanoscale Heat and Mass Transfer, Volume 3 ◽

10.1115/mnhmt2009-18248 ◽

2009 ◽

Author(s):

Cem Dolu ◽

Lu¨tfullah Kuddusi

Keyword(s):

Heat Transfer ◽

Heat Transfer Performance ◽

Flow Model ◽

Slip Flow ◽

Second Order ◽

Flow Models ◽

Uniform Wall Temperature ◽

Uniform Wall ◽

Slip Flow Regime ◽

Flow Effects

First and second order slip flow models in rectangular microchannels heated at constant and uniform wall temperature are studied. The velocity and temperature profiles for hydrodynamically and thermally developed incompressible slip flow regime available in literature are used. The average nondimensional slip velocity and temperature jump are found by using first and second order slip flow models. The average Nusselt number is also derived by using both first and second order slip flow models. The effects of Knudsen number, aspect ratio and second order slip flow model on the heat transfer characteristics of microchannel are explored.

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