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Research Papers: Heat and Mass Transfer

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,
Hyderabad 502329, Telangana, India
e-mail: naganitw@gmail.com

Srinivas Jangili

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

J. V. Ramana Murthy

Department of Mathematics,
National Institute of Technology Warangal,
Warangal 506004, Telangana, India
e-mail: jvr@nitw.ac.in

O. A. Bég

Fluid Mechanics, Aeronautical and
Mechanical Engineering,
School of Computing, Science and Engineering,
Newton Building,
The Crescent,
Salford M54WT, UK
e-mail: O.A.Beg@salford.ac.uk

A. Kadir

Corrosion/Thermo-Structures, Aeronautical and
Mechanical Engineering,
School of Computing, Science and Engineering,
Newton Building,
The Crescent,
Salford M54WT, UK
e-mail: a.kadir@salford.ac.uk

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received May 14, 2017; final manuscript received October 2, 2018; published online November 21, 2018. Assoc. Editor: Amitabh Narain.

J. Heat Transfer 141(1), 012004 (Nov 21, 2018) (9 pages) Paper No: HT-17-1277; doi: 10.1115/1.4041796 History: Received May 14, 2017; Revised October 02, 2018

The present paper investigates analytically the two-dimensional heat transfer and entropy generation characteristics of 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 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 nonmagnetic 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 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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Figures

Grahic Jump Location
Fig. 1

The coordinate system and the geometry of the channel

Grahic Jump Location
Fig. 2

The h-curves for (a) velocity with M = 5, Re = 10 and (b) temperature with M = 5, Re = 10, Pr = 0.7, Ec = 0.5, N = 2, and z = 1

Grahic Jump Location
Fig. 3

Effect of M on (a) radial velocity with Re = 10, N = 2, and z = 1; (b) axial velocity with Re = 10, N = 2, and z = 1; and (c) temperature with Re = 10, Pr = 0.7, Ec = 0.05, N = 2, and z = 1

Grahic Jump Location
Fig. 4

Effect of Re on (a) radial velocity with M = 3, N = 2, and z = 1; (b) axial velocity with M = 3, N = 2, and z = 1; and (c) temperature with M = 3, Pr = 0.7, Ec = 0.05, N = 2, and z = 1

Grahic Jump Location
Fig. 5

(a) Effect of Ec on temperature with M = 3, Re = 10, Pr = 0.7, N = 2, and z = 1 and (b) effect of Pr on temperature with M = 3, Ec = 0.05, Re = 10, N = 2, and z = 1

Grahic Jump Location
Fig. 6

(a) Effect of Re on Cf with N = 2 and z = 1 and (b) effect of M on Cf with N = 2 and z = 1

Grahic Jump Location
Fig. 7

(a) Effect of Pr on Nu with M = 5, Re = 10, N = 2, and z = 1 and (b) Effect of Re on Nu with M = 5, Ec = 0.75, N = 2, and z = 1

Grahic Jump Location
Fig. 8

Effect of M on (a) axial entropy generation number with Re = 5, Pr = 0.5, r = 0.7, N = 2, and Ec = 0.25 and (b) radial entropy generation number with Re = 5, Pr = 0.5, N = 2, z = 0, and Ec = 0.25

Grahic Jump Location
Fig. 9

Effect of Ec on (a) axial entropy generation number with Re = 5, Pr = 0.5, N = 2, r = 0.25, and M = 2 and (b) radial entropy generation number with Re = 5, Pr = 0.5, N = 2, z = 0.5, and Ec = 0.25

Grahic Jump Location
Fig. 10

Effect of Pr on (a) axial entropy generation number with Re = 5, Ec = 0.25, N = 2, r = 0.5, and M = 1 and (b) radial entropy generation number with Re = 5, Ec = 0.25, N = 2, z = 0.75, and M = 2

Grahic Jump Location
Fig. 11

Effect of M on (a) axial Bejan number with Re = 5, Pr = 0.5, N = 2, r = 0.25, Ec = 0.25 and (b) radial Bejan generation number with Re = 5, Pr = 0.5, N = 1, z = 0.5, and Ec = 0.75

Grahic Jump Location
Fig. 12

Effect of Ec on (a) axial Bejan number with Re = 10, Pr = 0.25, N = 2, r = 0.5, and M = 0.5 and (b) radial Bejan generation number with Re = 10, Pr = 0.5, N = 1, z = 0.5, and M = 1.5

Grahic Jump Location
Fig. 13

Effect of Pr on (a) axial Bejan number with Re = 2, Ec = 0.75, N = 2, r = 0.75, and M = 1 and (b) radial Bejan number with Re = 5, Ec = 0.5, N = 2, z = 0.5, and M = 2.5

Grahic Jump Location
Fig. 14

(a) Streamlines and contour graphs for (b) temperature; (c) pressure; (d) entropy generation number; and (e) Bejan number with Re = 10, M = 2, Ec = 0.75, and Pr = 0.7

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