Many researchers have studied the radiative heat transfer in a viscoelastic boundary layer flow over a stretching sheet after simplifying the complex nature of the radiative heat flux by expanding the fourth power of temperature (T4) in Taylor series about free-stream temperature (T) and neglecting the higher-order terms. Similarity solutions obtained by them are found to be valid only in the asymptotic region. This article suggests a modification in the linearization of T4 by introducing wall temperature (Tw) as well as freestream temperature (T) to capture the realistic nature of the temperature distribution in the boundary layer flows from locally nonsimilar solutions.

References

References
1.
Bataller
,
R. C.
,
2007
, “
Viscoelastic Fluid Flow and Heat Transfer Over a Stretching Sheet Under the Effects of a Non-Uniform Heat Source, Viscous Dissipation, and Thermal Radiation
,”
Int. J. Heat Mass Transfer
,
50
(15–16), pp.
3152
3162
.
2.
Datti
,
P. S.
,
Prasad
,
K. V.
,
Abel
,
M. S.
, and
Joshi
,
A.
,
2004
, “
MHD Viscoelastic Fluid Flow Over a Non-Isothermal Stretching Sheet
,”
Int. J. Eng. Sci.
,
42
(8–9), pp.
935
946
.
3.
Siddheshwar
,
P. G.
, and
Mahabaleswar
,
U. S.
,
2005
, “
Effects of Radiation and Heat Source on MHD Flow of a Viscoelastic Liquid and Heat Transfer Over a Stretching Sheet
,”
Int. J. Nonlinear Mech.
,
40
(
6
), pp.
807
820
.
4.
Bataller
,
R. C.
,
2007
, “
Effects of Heat Source/Sink, Radiation and Work Done by Deformation on Flow and Heat Transfer of a Viscoelastic Fluid Over a Stretching Sheet
,”
Comput. Math. Appl.
,
53
(
2
), pp.
305
316
.
5.
Abel
,
M. S.
,
Siddeshwar
,
P. G.
, and
Nandeppanavar
,
M. M.
,
2007
, “
Heat Transfer in a Viscoelastic Boundary Layer Flow Over a Stretching Sheet With Viscous Dissipation and Non-Uniform Heat Source
,”
Int. J. Heat Mass Transfer
,
50
(5–6), pp.
960
966
.
6.
Abel
,
M. S.
, and
Mahesha
,
N.
,
2008
, “
Heat Transfer in MHD Viscoelastic Fluid Flow Over a Stretching Sheet With Variable Thermal Conductivity, Non-Uniform Heat Source and Radiation
,”
Appl. Math. Model
,
32
(
10
), pp.
1965
1983
.
7.
Sajid
,
M.
, and
Hayat
,
T.
,
2008
, “
Influence of Thermal Radiation on the Boundary Layer Flow Due to an Exponentially Stretching Sheet
,”
Int. Comm. Heat Mass Transfer
,
35
(
3
), pp.
347
356
.
8.
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
.
9.
Hayat
,
T.
,
Nawaz
,
M.
,
Sajid
,
M.
, and
Asghar
,
S.
,
2009
, “
The Effect of Thermal Radiation on the Flow of a Second Grade Fluid
,”
Comput. Math. Appl.
,
58
(
2
), pp.
369
379
.
10.
Gaffar
,
S. A.
,
Prasad
, V
. R.
,
Reddy
,
E. K.
, and
Be
,
O. A.
,
2015
, “
Thermal Radiation and Heat Generation/Absorption Effects on Viscoelastic Double-Diffusive Convection From an Isothermal Sphere in Porous Media
,”
Ain Shams Eng. J.
,
6
(
3
), pp.
1009
1030
.
11.
Akinbobola
,
T. E.
, and
Okoya
,
S. S.
,
2015
, “
The Flow of Second Grade Fluid Over a Stretching Sheet With Variable Thermal Conductivity and Viscosity in the Presence of Heat Source/Sink
,”
J. Nigerian Math. Soc.
,
34
(
3
), pp.
331
342
.
12.
Patankar
,
S. V.
,
1980
,
Numerical Heat Transfer & Fluid Flow
,
Hemisphere Publishing
,
New York
.
13.
Nageswara Rao
,
B.
,
1996
, “
Flow of a Fluid of Second Grade Over a Stretching Sheet
,”
Int. J. Nonlinear Mech.
,
31
(4), pp.
547
550
.
14.
Lawrence
,
P. S.
,
Sarma
,
M. S.
, and
Nageswara Rao
,
B.
,
1997
, “
Heat Transfer in a Viscoelastic Boundary Layer Flow Over a Stretching Sheet Revisited
,”
J. Physics D Appl. Phys.
,
30
(
24
), pp.
3330
3334
.
15.
Sarma
,
M. S.
, and
Nageswara Rao
,
B.
,
1998
, “
Heat Transfer in a Viscoelastic Fluid Over a Stretching Sheet
,”
J. Math. Anal. Appl.
,
222
(
1
), pp.
268
275
.
16.
Nataraja
,
H. R.
,
Sarma
,
M. S.
, and
Nageswara Rao
,
B.
,
1998
, “
The Closed-Form Solutions for a Nonsimilar Viscoelastic Boundary Layer Flow and Heat Transfer
,”
Indian J. Eng. Mater. Sci.
,
5
(10), pp.
339
342
.
17.
Pillai
,
K. M. C.
,
Sai
,
K. S.
,
Shivakumarswamy
,
N.
,
Nataraja
,
H. R.
,
Tiwari
,
S. B.
, and
Nageswara Rao
,
B.
,
2004
, “
Heat Transfer in a Viscoelastic Boundary Layer Flow Through a Porous Medium
,”
Int. J. Comput. Mech.
,
34
(1), pp.
27
37
.
18.
Arnold
,
J. C.
,
Asir
,
A. A.
,
Somasundaram
,
S.
, and
Christopher
,
T.
,
2010
, “
Heat Transfer in a Viscoelastic Boundary Layer Flow Over a Stretching Sheet
,”
Int. J. Heat Mass Transfer
,
53
(5–6), pp.
1112
1118
.
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