The Solutions of Non-Integer Order Burgers’ Fluid Flowing through a Round Channel with Semi Analytical Technique
Department of Mathematics, Government College University, Faisalabad, Punjab 38000, Pakistan
Fundamental and Applied Science Department, Universiti Teknologi Petronas, 32610 Perak, Malaysia
Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City 72915, Vietnam
Department of Mathematics, University of Management and Technology Lahore, Punjab 54770, Pakistan
Department of Mathematics, College of Arts and Science, Prince Sattam bin Abdulaziz University, Wadi Al-Dawaser 11991, Saudi Arabia
Author to whom correspondence should be addressed.
Received: 4 April 2019 / Revised: 5 May 2019 / Accepted: 6 May 2019 / Published: 1 August 2019
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The solutions for velocity and stress are derived by using the methods of Laplace transformation and Modified Bessel’s equation for the rotational flow of Burgers’ fluid flowing through an unbounded round channel. Initially, supposed that the fluid is not moving with t = 0 and afterward fluid flow is because of the circular motion of the around channel with velocity
with time positively grater than zero. At the point of complicated expressions of results, the inverse Laplace transform is alternately calculated by “Stehfest’s algorithm” and “MATHCAD” numerically. The numerically obtained solutions in the terms of the Modified Bessel’s equations of first and second kind, are satisfying all the imposed conditions of given mathematical model. The impact of the various physical and fractional parameters are also indeed and so presented by graphical demonstrations.
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Imran, M.; Ching, D.; Safdar, R.; Khan, I.; Imran, M.A.; Nisar, K.S. The Solutions of Non-Integer Order Burgers’ Fluid Flowing through a Round Channel with Semi Analytical Technique. Symmetry 2019, 11, 962.
Imran M, Ching D, Safdar R, Khan I, Imran MA, Nisar KS. The Solutions of Non-Integer Order Burgers’ Fluid Flowing through a Round Channel with Semi Analytical Technique. Symmetry. 2019; 11(8):962.
Imran, M.; Ching, D.L.C.; Safdar, Rabia; Khan, Ilyas; Imran, M. A.; Nisar, K. S. 2019. "The Solutions of Non-Integer Order Burgers’ Fluid Flowing through a Round Channel with Semi Analytical Technique." Symmetry 11, no. 8: 962.
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