Flow and heat transfer of a quadratic stretching sheet in a Boussinesq-Stokes suspension

• Autorzy: Sekhar G. N. , Chethan A. S.
• Języki publikacji: EN

Abstrakty

EN

An analysis is carried out to study the flow and heat transfer in a couple stress fluid over a stretching sheet. The velocity of the sheet is taken as a quadratic polynomial of the distance from the sheet. This results in the manifestation of augmentation of flow in the direction transverse to the sheet. An analytical expression is obtained for velocity components as a function of the couple stress parameter and stretching related parameters. The heat transfer characteristic of a Boussinesq-Stokes suspension over a continuous stretching surface with internal heat generation/absorption is analyzed. Two cases are studied, namely (i) the sheet with prescribed surface temperature (PST-case) and (ii) the sheet with prescribed heat flux (PHF-case). The basic boundary layer equations for momentum and heat transfer, which are non-linear partial differential equations, are converted into non-linear ordinary differential equations by means of similarity transformation. The resulting non-linear differential equation is solved exactly. The solution and heat transfer characteristics are obtained in terms of Kummer's functions. The results have possible technological applications in the liquid-based systems involving stretchable materials.

Słowa kluczowe

EN

analytical solution; nonlinear stretching sheet; Boussinesq-Stokes suspension; couple stress fluid

PL

wymiana ciepła; przepływ ciepła; rozwiązania analityczne

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2011
• Tom: Vol. 16, no 4
• Strony: 1109--1128
• Opis fizyczny: Bibliogr. 13 poz., wykr.

Twórcy

autor

Sekhar G. N.

autor

Chethan A. S.

• Department of Mathematics BMS College of Engineering Bangalore, Karnataka, INDIA,

Bibliografia

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