Analytical Solutions for Equations of Unsteady Flow of Non-Newtonian Fluids in Tube

Liu Ci-qun; Huang Jun-qi

Volume 10 Issue 11

Turn off MathJax

Article Contents

Abstract

References

Article Navigation > Applied Mathematics and Mechanics > 1989 > 10(11): 939-946

Liu Ci-qun, Huang Jun-qi. Analytical Solutions for Equations of Unsteady Flow of Non-Newtonian Fluids in Tube[J]. Applied Mathematics and Mechanics, 1989, 10(11): 939-946.

Citation:

Liu Ci-qun, Huang Jun-qi. Analytical Solutions for Equations of Unsteady Flow of Non-Newtonian Fluids in Tube[J]. Applied Mathematics and Mechanics, 1989, 10(11): 939-946.

Citation:

Liu Ci-qun, Huang Jun-qi. Analytical Solutions for Equations of Unsteady Flow of Non-Newtonian Fluids in Tube[J]. Applied Mathematics and Mechanics, 1989, 10(11): 939-946.

PDF( 417 KB)

Analytical Solutions for Equations of Unsteady Flow of Non-Newtonian Fluids in Tube

Institute of Porous Flow Fluid Mechanics, Langfang

Received Date: 1988-08-10
Publish Date: 1989-11-15

Abstract

Abstract

This paper presents analytieal solutions to the partial differential equations for unsteady flow of the second-order fluid and Maxwell fluid in tube by using the integral transform method. It can be used to analyse the behaviour of axial velocity and shear stress for unsteady flow of nun-Newtonian visco-elastie fluids in tube, and to provide a theoretical base for the projection of pipe-line engineering.

FullText(HTML)

References(2)

References

[1]	韩式方,《非牛顿流体连续介质力学》,四川科学技术出版社(1987).
[2]	伍岳庆,非牛顿流体管内非定常流动研究,中科院成都分院,领士论文(1988).

Relative Articles

[1]	Bikash Sahoo, H. G. Sharma. MHD Flow and Heat Transfer From a Continuous Surface in a Uniform Free Stream of a Non-Newtonian Fluid[J]. Applied Mathematics and Mechanics, 2007, 28(11): 1307-1317.
[2]	Han Shifang. Computational Intellectual Analytical Theory of Computational Analytical Approach to Rotating Flow of Non-Newtonian Fluid[J]. Applied Mathematics and Mechanics, 1999, 20(11): 1149-1160.
[3]	Shen Min. Variational Principles in Hydrodynamics of a Non-Newtonian Fluid[J]. Applied Mathematics and Mechanics, 1998, 19(10): 891-896.
[4]	Huang Junqi, Liu Ciqun. An Analytical Solution and Analysis of Characters for Viscoelastic Fluid Flow in Annular Pipe[J]. Applied Mathematics and Mechanics, 1997, 18(6): 499-506.
[5]	Wang Zhendong, Zhou Zongke. The Nonlinear Stability of Plane Poiseuille Flow for Non-Newtonian Power Series Fluid[J]. Applied Mathematics and Mechanics, 1995, 16(7): 609-613.
[6]	He Guangyu, Huang Junqi, Liu Ciqun. General Second Order Fluid Flow in a Pipe[J]. Applied Mathematics and Mechanics, 1995, 16(9): 767-773.
[7]	Shen Min, Sun Qi-ren. Variational Principle and Generalized Variational Principle in Hydrodynamics of a Class of Non-Newtonian Fluid[J]. Applied Mathematics and Mechanics, 1995, 16(4): 345-351.
[8]	Huang Jun-qi, Liu Ci-qun. Unsteady Rotative Flow of Non-Newtonian Fluid In an Annular Pipe[J]. Applied Mathematics and Mechanics, 1995, 16(4): 323-328.
[9]	Zhang Hai-qiao, Wu Ji-zhou. Analytical Solutions of the Helical Flow of Non-Newtonian Fluid in Eccentric Annular Space[J]. Applied Mathematics and Mechanics, 1994, 15(7): 627-638.
[10]	Li Ping, Yan Zong-yi, Zhuang Feng-yuan. Solution for the Oscillation of a Newtonian Fluid in a Co-Axial Viscometer[J]. Applied Mathematics and Mechanics, 1993, 14(6): 535-541.
[11]	Chen Shao-jun. Harten Solution for One-Dimensional Unsteady Equation[J]. Applied Mathematics and Mechanics, 1993, 14(6): 515-524.
[12]	Zhu Wen-hui, Liu Ci-qun. Analytical Solution of Flow of Second-Order Non-Newtonian Fluid through Annular Pipes[J]. Applied Mathematics and Mechanics, 1993, 14(3): 195-201.
[13]	Han Shi-fang, Xiao Fan. Investigation on an Internal Thermal Flow of Non-Newtonian Fluid[J]. Applied Mathematics and Mechanics, 1992, 13(5): 407-419.
[14]	Yue Xiang-an, Kong Xiang-yan, Chen Jia-lang. Perturbation Solution of Non-Newtonian Fluid Axial Laminar Flow through Eccentric Annuli[J]. Applied Mathematics and Mechanics, 1992, 13(3): 245-254.
[15]	Feng Tong, Chien wei-zang, Sun Hou-jun. The Numerical Simulation of Turbulent Flows of Newtonian and a Sort of Non-Newtonian Fluid in 180-Degree Square Sectioned Bend[J]. Applied Mathematics and Mechanics, 1991, 12(1): 1-10.
[16]	Yuan Yi-wu. The Approximate Solution of the Self-Similar Problem for Radial Flow of Non-Newtonian Fluids through Porous Media[J]. Applied Mathematics and Mechanics, 1988, 9(8): 725-733.
[17]	Liu Ci-qun. Transient Spherical Flow of Non-Newtonian Power-Law Fluids in Porous Media[J]. Applied Mathematics and Mechanics, 1988, 9(6): 481-485.
[18]	Su Ming-de. Finite Element Analysis of Non-Newtonian Fluid Flow in 2-D Branching Channel[J]. Applied Mathematics and Mechanics, 1986, 7(10): 929-936.
[19]	Chen Li-Han, Wu Wang-yi. Two-Phase Displacement of Non-Newtonian Fluid[J]. Applied Mathematics and Mechanics, 1983, 4(4): 507-516.
[20]	Liu Zhao-rong, Chen Jin-e. An Analysis and Calculation of Unsteady Flow through Exhaust System of Diesel Engines[J]. Applied Mathematics and Mechanics, 1981, 2(2): 219-234.