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research-article

Second Law Analysis of Flow in a Circular Pipe with Uniform Suction and Magnetic Field Effects

[+] Author and Article Information
G. Nagaraju

Department of Mathematics, GITAM University, Hyderabad Campus, Telangana, India
naganitw@gmail.com

Srinivas Jangili

Department of Mathematics, National Institute of Technology Meghalaya, Shillong-793003, India
j.srinivasnit@gmail.com

Ramana Murthy Venkata Josyula

Department of Mathematics, National Institute of Technology, Warangal, Telangana, India
jvr@nitw.ac.in

O. Anwar Beg

Fluid Mechanics, Aeronautical and Mechanical Engineering, School of Computing, Science and Engineering, Newton Building, The Crescent, Salford, England, UK
O.A.Beg@salford.ac.uk

Ali Kadir

Fluid Mechanics, Aeronautical and Mechanical Engineering, School of Computing, Science and Engineering, Newton Building, The Crescent, Salford, England, UK
a.kadir@salford.ac.uk

1Corresponding author.

ASME doi:10.1115/1.4041796 History: Received May 14, 2017; Revised October 02, 2018

Abstract

The present paper investigates analytically the two-dimensional heat transfer and entropy generation characteristics in axisymmetric, incompressible viscous fluid flow in a horizontal circular pipe. The flow is subjected to an externally applied uniform suction across the wall in the normal direction and a constant radial magnetic field. Constant wall temperature is considered as the thermal boundary condition. The reduced Navier-Stokes equations in a cylindrical coordinate system are solved to obtain the velocity and temperature distributions. The velocity distributions are expressed in terms of stream function and the solution is obtained using the Homotopy Analysis Method(HAM). Validation with earlier non-magnetic solutions in the literature is incorporated. The effects of various parameters on axial and radial velocities, temperature, axial and radial entropy generation numbers, and axial and radial Bejan numbers and are presented graphically and interpreted at length. Streamlines, isotherms, pressure, entropy generation number and Bejan number contours are also visualized. Increasing magnetic body force parameter shifts the peak of the velocity curve near to the axis whereas it accelerates the radial flow. The study is relevant to thermodynamic optimization of magnetic blood flows and electromagnetic industrial flows featuring heat transfer.

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