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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2014 Volume 54, Number 12, Page 1965 (Mi zvmmf10126)

This article is cited in 11 papers

Effects of slip and heat transfer on a peristaltic flow of a Carreau fluid in a vertical asymmetric channel

S. Akram

Department of Basic Sciences, Military College of Signals, National University of Sciences and Technology, Rawalpindi 46000, Pakistan

Abstract: In the present paper the results of numerical modeling of peristaltic flow of a Carreau fluid in a vertical asymmetric channel are presented. The effects of slip and heat transfer have been analyzed. Using the approximation of long wavelength, low Reynolds number and with the suitable dimensionless variables, the reduced equations have been solved analytically by regular perturbation method. The expressions for velocity, stream function, temperature, pressure gradient and pressure rise have been computed which strongly depend on the physical parameters of the Carreau fluid. With the help of analytical results the expression for pressure rise has been computed using numerical integration scheme. To reveal the tendency of the solutions, typical results for velocity, temperature, stream function, pressure gradient and pressure rise are presented for different values of controlling parameters.

Key words: peristaltic flow, carreau fluid, partial slip, vertical asymmetric channel, heat transfer.

UDC: 519.634

Received: 22.05.2013

Language: English

DOI: 10.7868/S004446691408002X


 English version:
Computational Mathematics and Mathematical Physics, 2014, 54:12, 1886–1902

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