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Neural Computing and Applications

, Volume 31, Issue 7, pp 2407–2413 | Cite as

A hybrid computational approach for Jeffery–Hamel flow in non-parallel walls

  • Jagdev SinghEmail author
  • M. M. Rashidi
  • Sushila
  • Devendra Kumar
Original Article

Abstract

The key goal of this article is to present an efficient hybrid computational technique, namely homotopy analysis transform method (HATM), to investigate Jeffery–Hamel flow. The HATM is an innovative and efficient amalgamation of homotopy analysis technique, standard Laplace transform scheme and homotopy polynomials. The effect of Reynolds number on velocity profile is studied graphically. The obtained results are compared with existing results and it is noticed that the outcomes are in an excellent agreement. The outcomes of the suggested method reveal that the technique is easy to handle and computationally very fantastic.

Keywords

Jeffery–Hamel flow Homotopy analysis transform method Fluid mechanics Nonlinear equation 

List of symbols

P

Pressure term

\(\rho\)

Fluid density

\(\upsilon\)

Coefficient of kinematic viscosity

\(u(r,\theta )\)

Radial velocity

\(r\)

Radial coordinate

\(\theta\)

Angular coordinate

Re

Reynolds number

\(\alpha\)

Steep angle

Notes

Compliance with ethical standards

Conflict of interest

The authors declare that there is no conflict of interest regarding the publication of this paper.

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Copyright information

© The Natural Computing Applications Forum 2017

Authors and Affiliations

  • Jagdev Singh
    • 1
    Email author
  • M. M. Rashidi
    • 2
  • Sushila
    • 3
  • Devendra Kumar
    • 1
  1. 1.Department of MathematicsJECRC UniversityJaipurIndia
  2. 2.Department of Civil EngineeringUniversity of BirminghamBirminghamUK
  3. 3.Department of PhysicsVivekananda Global UniversityJaipurIndia

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