International Journal of Advanced and Applied Sciences

Int. j. adv. appl. sci.

EISSN: 2313-3724

Print ISSN: 2313-626X

Volume 4, Issue 10  (October 2017), Pages:  97-105

Original Research Paper

Title: Helical flows of fractional viscoelastic fluid in a circular pipe

Author(s): Muzaffar Hussain Laghari, Kashif Ali Abro *, Asif Ali Shaikh

Affiliation(s):

Department of Basic Sciences and Related Studies, Mehran University of Engineering Technology, Jamshoro, Pakistan

https://doi.org/10.21833/ijaas.2017.010.014

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Abstract:

The exploration of this study is devoted to investigate the helical effects for the flow of fractionalized viscoelastic fluid in helically moved cylinder. The cylinder starts to oscillate and rotate about its axis when t=0+ with velocities. By applying mathematical transforms (Hankel and discrete Laplace transforms) exact solutions are found out for velocities and shear stresses. The general solutions satisfy initial conditions u1(r,0)=u2(r,0)=∂u1(r,0)/∂t=∂u2(r,0)/∂t, as well as boundary conditions u1(R,t)=RΩH(t)sin(ωt), and u2(R,t)=UH(t)sinωt/cosωt. The solutions are presented in terms of series form and expressed in terms of generalized Fox H-function. Special cases have been traced out for non-Newtonian fluids (fractional and ordinary Second Grade, fractional and ordinary Newtonian fluid and ordinary Maxwell Fluid). Three types of fluid models are presented for rheological comparison, namely (i) fractional and ordinary Maxwell fluid, (ii) fractional and ordinary second grade fluid and (iii) fractional and ordinary Newtonian fluid. Finally, the rheology is influenced with distinct parameters and material limitations for helically moved cylinder by depicting graphical analysis. 

© 2017 The Authors. Published by IASE.

This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

Keywords: Helical cylinder, Viscoelastic fluid, Fox H-function, Rheological impacts

Article History: Received 23 June 2017, Received in revised form 20 August 2017, Accepted 25 August 2017

Digital Object Identifier: 

https://doi.org/10.21833/ijaas.2017.010.014

Citation:

Laghari MH, Abro KA, and Shaikh AA (2017). Helical flows of fractional viscoelastic fluid in a circular pipe. International Journal of Advanced and Applied Sciences, 4(10): 97-105

Permanent Link:

http://www.science-gate.com/IJAAS/V4I10/Laghari.html

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