New Analytical Solutions for the Flow of a Fourth Grade Fluid Past a Porous Plate
Mathematics and Computer Science
Volume 1, Issue 2, July 2016, Pages: 29-35
Received: Jun. 28, 2016; Accepted: Aug. 5, 2016; Published: Aug. 25, 2016
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Muhammet Yurusoy, Department of Mechanical Engineering, Afyon Kocatepe University, Afyon, Turkey
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The flow of fourth grade fluid flow over a porous plate with heat transfer is considered. By using the perturbation techniques, approximate analytical solutions for velocity and temperature profiles have been obtained. Comparing with the Newtonian effect, it turns out that if the second grade, third grade and fourth grade effects are small, an ordinary perturbation problem occurs. To find fourth grade fluids, velocity and temperature profiles, which are attained, are compared with numerical solutions. The approximate solutions run in well with the numerical solutions. This is to demonstrate us that the perturbation technique is a robust tool to find great approximations to nonlinear equations of fourth grade fluids. Velocity and temperature profiles are calculated for diverse second grade, third grade and fourth grade non-Newtonian fluid parameters.
Fourth Grade Fluid Equations, Boundary Layer Analysis, Perturbation Methods
To cite this article
Muhammet Yurusoy, New Analytical Solutions for the Flow of a Fourth Grade Fluid Past a Porous Plate, Mathematics and Computer Science. Vol. 1, No. 2, 2016, pp. 29-35. doi: 10.11648/j.mcs.20160102.12
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This article is an open access article distributed under the Creative Commons Attribution License ( which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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