Stagnation-point flow and heat transfer over an exponentially shrinking sheet

    Authors

    K. Bhattacharyya;K. Vajravelu

    Comments

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    Abbreviated Journal Title

    Commun. Nonlinear Sci. Numer. Simul.

    Keywords

    Dual solutions; Exponentially shrinking sheet; Boundary layers; Stagnation-point flow; Heat transfer; BOUNDARY-LAYER-FLOW; NONLINEARLY STRETCHING SHEET; VISCOUS-FLOW; MASS-TRANSFER; THERMAL-RADIATION; ANALYTIC SOLUTION; 2ND-GRADE FLUID; SURFACE; DISSIPATION; PLATE; Mathematics, Applied; Mathematics, Interdisciplinary Applications; Mechanics; Physics, Fluids & Plasmas; Physics, Mathematical

    Abstract

    An analysis is carried out to investigate the stagnation-point flow and heat transfer over an exponentially shrinking sheet. Using the boundary layer approximation and a similarity transformation in exponential form, the governing mathematical equations are transformed into coupled, nonlinear ordinary differential equations which are then solved numerically by a shooting method with fourth order Runge-Kutta integration scheme. The analysis reveals that a solution exists only when the velocity ratio parameter satisfies the inequality -1.487068 < = c/a. Also, the numerical calculations exhibit the existence of dual solutions for the velocity and the temperature fields: and it is observed that their boundary layers are thinner for the first solution (in comparison with the second). Moreover, the heat transfer from the sheet increases with an increase in c/a for the first solution, while the heat transfer decreases with increasing c/a for the second solution, and ultimately heat absorption occurs. (C) 2011 Elsevier BM. All rights reserved.

    Journal Title

    Communications in Nonlinear Science and Numerical Simulation

    Volume

    17

    Issue/Number

    7

    Publication Date

    1-1-2012

    Document Type

    Article

    Language

    English

    First Page

    2728

    Last Page

    2734

    WOS Identifier

    WOS:000301094200003

    ISSN

    1007-5704

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