An entropy generation analysis of steady boundary layer flow of viscous fluid with variable properties over an exponentially stretching sheet is presented. The basic nonlinear partial differential equations that govern the flow are reduced to ordinary differential equations by using appropriate transformations. Numerical solutions are obtained by using shooting technique along with Runge–Kutta method. Expressions for the dimensionless volumetric entropy generation rate and Bejan number are also obtained. The effects of different dimensionless emerging parameters on entropy generation number and Bejan number are investigated graphically in detail.
Issue Section:
Technical Brief
References
1.
Sakiadis
, B. C.
, 1961
, “Boundary-Layer Behaviour on Continuous Solid Surfaces—I: Boundary-Layer Equations for Two-Dimensional and Axisymmetric Flow
,” Am. Inst. Chem. Eng.
, 7
(1
), pp. 26
–28
.2.
Erickson
, L. E.
, Fan
, L. T.
, and Fox
, V. G.
, 1966
, “Heat and Mass Transfer on a Moving Continuous Flat Plate With Suction or Injection
,” Ind. Eng. Chem. Fundam.
, 5
(1
), pp. 19
–25
.3.
Crane
, L. J.
, 1970
, “Flow Past a Stretching Plate
,” Z. Angew. Math. Phys.
, 21
(4
), pp. 645
–647
.4.
Carragher
, P.
, and Crane
, L. J.
, 1982
, “Heat Transfer on a Continuously Stretching Sheet
,” Z. Angew. Math. Mech.
, 62
(10
), pp. 564
–565
.5.
Nazar
, R.
, Amin
, N.
, and Pop
, I.
, 2004
, “Unsteady Boundary Layer Flow Due to a Stretching Surface in a Rotating Fluid
,” Mech. Res. Commun.
, 31
(1
), pp. 121
–128
.6.
Hsiao
, K. L.
, 2013
, “Energy Conversion Conjugate Conduction Convection and Radiation Over Non-Linearly Extrusion Stretching Sheet With Physical Multimedia Effects
,” Energy
, 59
, pp. 494
–502
.7.
Reddy
, M. G.
, Padma
, P.
, and Shankar
, B.
, 2015
, “Effects of Viscous Dissipation and Heat Source on Unsteady MHD Flow Over a Stretching Sheet
,” Ain Shams Eng. J.
, 6
(4
), pp. 1195
–1201
.8.
Makinde
, O. D.
, 2009
, “On MHD Boundary-Layer Flow and Mass Transfer Past a Vertical Plate in a Porous Medium With Constant Heat Flux
,” Int. J. Numer. Methods Heat Fluid Flow
, 19
(3/4), pp. 546
–554
.9.
Ali
, F. M.
, Nazar
, R.
, Arifin
, N. M.
, and Pop
, I.
, 2014
, “Mixed Convection Stagnation-Point Flow on Vertical Stretching Sheet With External Magnetic Field
,” Appl. Math. Mech.
, 35
(2
), pp. 155
–166
.10.
Khader
, M. M.
, Babatin
, M. M.
, Eid
, A.
, and Megahed
, A. A.
, 2015
, “Numerical Study for Simulation the MHD Flow and Heat Transfer Due to Stretching Sheet on Variable Thickness and Thermal Conductivity With Thermal Radiation
,” Appl. Math.
, 6
(12
), pp. 2045
–2056
.11.
Magyari
, E.
, and Keller
, B.
, 1999
, “Heat and Mass Transfer in the Boundary Layers on an Exponentially Stretching Continuous Surface
,” J. Phys. D: Appl. Phys.
, 32
(5
), pp. 577
–585
.12.
Partha
, M. K.
, Murthy
, P. V. S. N.
, and Rajasekhar
, G. P.
, 2005
, “Effect of Viscous Dissipation on the Mixed Convection Heat Transfer From an Exponentially Stretching Surface
,” Heat Mass Transfer
, 41
(4
), pp. 360
–366
.13.
Sajid
, M.
, and Hayat
, T.
, 2008
, “Influence of Thermal Radiation on Boundary Layer Flow Due to Exponentially Stretching Sheet
,” Int. Commun. Heat Mass Transfer
, 35
(3
), pp. 347
–356
.14.
Bidin
, B.
, and Nazar
, R.
, 2009
, “Numerical Solution of the Boundary Layer Flow Over an Exponentially Stretching Sheet With Thermal Radiation
,” Eur. J. Sci. Res.
, 33
(4), pp. 710
–717
.15.
Ishak
, A.
, 2011
, “MHD Boundary Layer Flow Due to Exponentially Stretching Sheet With Radiation Effect
,” Sains Malays.
, 40
(4), pp. 391
–395
.16.
Maboob
, F.
, Khan
, W. A.
, and Ismail
, A. I. M.
, 2017, “MHD Flow Over Exponentially Radiating Stretching Sheet Using Homotopy Analysis Method
,” J. King Saud Univ. Eng. Sci.
, 29
(1), pp. 68–74.17.
Sravanthi
, C. S.
, 2016
, “Homotopy Analysis Solution of MHD Slip Flow Past an Exponentially Stretching Inclined Sheet With Soret-Dufour Effects
,” J. Nigerian Math. Soc.
, 35
(1
), pp. 208
–226
.18.
Bhattacharyya
, K.
, and Vajravelu
, K.
, 2012
, “Stagnation-Point Flow and Heat Transfer Over an Exponentially Shrinking Sheet
,” Commun. Nonlinear Sci. Numer. Simul.
, 17
(7
), pp. 2728
–2734
.19.
Bejan
, A.
, 1996
, Entropy Generation Minimization
, CRC Press
, Boca Raton, FL
.20.
Bejan
, A.
, 1982
, Entropy Generation Through Heat and Fluid Flow
, Wiley
, New York
.21.
Rashidi
, M. M.
, Mohammadi
, F.
, Abbasbandy
, S.
, and Alhuthali
, M. S.
, 2015
, “Entropy Generation Analysis for Stagnation Point Flow in a Porous Medium Over a Permeable Stretching Surface
,” J. Appl. Fluid Mech.
, 8
(4), pp. 753
–765
.22.
Rashidi
, M. M.
, Ali
, M.
, Freidoonimehr
, N.
, and Nazari
, F.
, 2013
, “Parametric Analysis and Optimization of Entropy Generation in Unsteady MHD Flow Over a Stretching Rotating Disk Using Artificial Neural Network and Particle Swarm Optimization Algorithm
,” Energy
, 55
, pp. 497
–510
.23.
Butt
, A. S.
, and Ali
, A.
, 2015
, “Investigation of Entropy Generation Effects in Magnetohydrodynamic Three Dimensional Flow and Heat Transfer of Viscous Fluid Over a Stretching Surface
,” J. Braz. Soc. Mech. Sci. Eng.
, 37
(1
), pp. 211
–219
.24.
Butt
, A. S.
, Ali
, A.
, and Mehmood
, A.
, 2016
, “Numerical Investigation of Magnetic Field Effects on Entropy Generation in Viscous Flow Over a Stretching Cylinder Embedded in a Porous Medium
,” Energy
, 99
, pp. 237
–249
.25.
Makinde
, O. D.
, 2011
, “Second Law Analysis for Variable Viscosity Hydromagnetic Boundary Layer Flow With Thermal Radiation and Newtonian Heating
,” Entropy
, 13
(12
), pp. 1446
–1464
.26.
Lai
, F. C.
, and Kulacki
, F. A.
, 1990
, “The Effect of Variable Viscosity on Convective Heat Transfer Along a Vertical Surface in a Saturated Porous Medium
,” Int. J. Heat Mass Transfer
, 33
(5), pp. 1028
–1031
.Copyright © 2017 by ASME
You do not currently have access to this content.