A Variational Analytical Approach to Time Dependent Flow of Oldroyd B Fluid in Circular Tube

Han Shi-fang; H. Ramkissoon

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Han Shi-fang, H. Ramkissoon. A Variational Analytical Approach to Time Dependent Flow of Oldroyd B Fluid in Circular Tube[J]. Applied Mathematics and Mechanics, 1995, 16(2): 155-164.

Citation:

Han Shi-fang, H. Ramkissoon. A Variational Analytical Approach to Time Dependent Flow of Oldroyd B Fluid in Circular Tube[J]. Applied Mathematics and Mechanics, 1995, 16(2): 155-164.

Citation:

Han Shi-fang, H. Ramkissoon. A Variational Analytical Approach to Time Dependent Flow of Oldroyd B Fluid in Circular Tube[J]. Applied Mathematics and Mechanics, 1995, 16(2): 155-164.

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A Variational Analytical Approach to Time Dependent Flow of Oldroyd B Fluid in Circular Tube

Han Shi-fang¹,
H. Ramkissoon²

1.
Res. Lab. Non-Newtonian Fluid Mech., Chengdu Branch, Academia Sinica, Chengdu;
2.
Department of Mathematics, The University of West Indles, St. Augustine Trinidad W. I.

Received Date: 1994-05-17
Publish Date: 1995-02-15

Abstract

Abstract

In the present investigation the time dependent flow of an Oldroyd fluid B in a horizontal eylindrical pipe is stuided by the variational analytical approach developed by author.The tome 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.
- Oldroyd fluid B,
- non-Newtonian fluid,
- time dependent flow,
- variational-analytical approach,
- improved approach dut to Kantorovich

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References(11)

References

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