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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.9

ISSN Druckformat: 2152-5102
ISSN Online: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v32.i5.30
pages 538-548

Stagnation-Point Flow Towards a Heated Stretching Sheet with Variable Fluid Viscosity

Gorachand C. Layek
Department of Mathematics, University of Burdwan Burdwan, West Bengal, India
Swati Mukhopadhyay
Department of Mathematics, The University of Burdwan, India
Rama Subba Reddy Gorla
Department of Mechanical Engineering, Cleveland State University, Cleveland, OH, 44115 USA; Department of Mechanical Engineering, University of Akron, Akron, Ohio 44325, USA; Department of Mechanical & Civil Engineering, Purdue University Northwest, Westville, IN 46391, USA

ABSTRAKT

The influence of temperature-dependent fluid viscosity on a steady stagnation-point flow over a heated stretching sheet is investigated. The fluid viscosity is assumed to vary as a linear function of temperature. A scaling group of transformations is applied to the governing equations of motion and energy. Using the invariants, third- and second-order ordinary differential equations corresponding to the momentum and energy equations are obtained. These equations are then solved numerically. It is found that the horizontal velocity increases with the increasing value of the ratio of the free-stream velocity ax and the stretching velocity cx, but the temperature decreases in this case. The important findings of the present study are that at a particular point of the heated stretching sheet, the fluid viscosity decreases with an increase of the temperature-dependent fluid viscosity parameter A near the stagnation point when the free-stream velocity is less than the stretching velocity, but with increasing η, the horizontal velocity increases in this case with the increasing temperature-dependent fluid viscosity parameter A. When the free-stream velocity is greater than the stretching velocity, the opposite behavior of horizontal velocity is noted.


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