Analytical Solution of a Fractional Model of Fluid Flow Through Narrowing System in Terms of Mittag-Leffler Function-Reference-Cited by-同舟云学术

Analytical Solution of a Fractional Model of Fluid Flow Through Narrowing System in Terms of Mittag-Leffler Function

Published:2020-03-01 Issue:1 Volume:25 Page:1-11
ISSN:2353-9003
Container-title:International Journal of Applied Mechanics and Engineering
language:en
Short-container-title:

Author:

Choudhary A.¹,Kumar D.²,Singh J.³

Affiliation:

1. Department of Mathematics , Arya Institute of Engineering and Technology , Kukus, Jaipur -302028, Rajasthan, India

2. Department of Mathematics , University of Rajasthan , Jaipur -302004, Rajasthan, India

3. Department of Mathematics , JECRC University , Jaipur -303905, Rajasthan, India

Abstract

Abstract In this work, we discuss a fractional model of a flow equation in a simple pipeline. Pipeline narrowing is a crucial aspect in drinking water distribution processes, sewage system and in oil-well schemes. The solution of the mathematical model is determined with the aid of the Sumudu transform and finite Hankel transform. The results derived in the current study are in compact and graceful forms in terms of the Mittag-Leffler type function, which are convenient for numerical and theoretical evaluation.

Publisher

Walter de Gruyter GmbH

Subject

Fluid Flow and Transfer Processes,Transportation,Civil and Structural Engineering

Link

https://www.sciendo.com/pdf/10.2478/ijame-2020-0001

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