A variational analytical approach to time dependent flow of oldroyd B fluid in circular tube |
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Authors: | Han Shi-fang H Ramkissoon |
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Institution: | 1. Res. Lab. Non-Newtonian Fluid Mech., Chengdu Branch, Academia Sinica, Chengdu;
2. Department of Mathematics, The University of West Indies, St. Augustine Tuinidad W. I. |
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Abstract: | In the present investigation the time dependent flow of an Oldroyd fluid B in a horizontal cylindrical pipe is stuided by
the variational analytical approach developed by author. The time dependent problem is mathematically reduced to a partial
differential equation of third order. Using the improved variational approach due to Kantorovich the partial differential
equation can be reduced to a system of ordinary differential equations for different approximations. The ordinary differential
equations are solved by the method of the Laplace transform which is led to an analytical form of the solutions.
Project supported by TWAS and Chinese Academy of Sciences and the National Science Foundation of China |
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Keywords: | Oldroyd fluid B non-Newtonian fluid time dependent flow variational-analytical approach improved approach dut to Kantorovich |
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