THERMAL SCIENCE

International Scientific Journal

Corina Fetecau

,

Qammar Rubbab

,

Shahraz Akhter

,

Constantin Fetecau

NEW METHODS TO PROVIDE EXACT SOLUTIONS FOR SOME UNIDIRECTIONAL MOTIONS OF RATE TYPE FLUIDS

ABSTRACT
Based on three immediate consequences of the governing equations corresponding to some unidirectional motions of rate type fluids, new motion problems are tackled for exact solutions. For generality purposes, exact solutions are developed for shear stress boundary value problems of generalized Burgers fluids. Such solutions, for which the shear stress instead of its differential expressions is given on the boundary, are lack in the literature for such fluids. Consequently, the first exact solutions for motions of rate type fluids induced by an infinite plate or a circular cylinder that applies a constant shear f or an oscillating shear f sin(ωt) to the fluid are here presented. In addition, all steady-state solutions can easily be reduced to known solutions for second grade and Newtonian fluids.
KEYWORDS
rate type fluids, unidirectional motions, shear stress boundary value problems, exact solutions
PAPER SUBMITTED: 2013-02-25
PAPER REVISED: 2013-08-08
PAPER ACCEPTED: 2013-09-14
PUBLISHED ONLINE: 2013-09-22
DOI REFERENCE: https://doi.org/10.2298/TSCI130225130F
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2016, VOLUME 20, ISSUE Issue 1, PAGES [7 - 20]
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New methods to provide exact solutions for some unidirectional motions of rate type fluids

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