This note introduces a rescaling approach that greatly simplifies the evaluation of flow and physical parameters such as skin friction and heat transfer rate in recent single phase nanofluids research for which the nanofluids begin to create a non-Newtonian fluid after 5–6% volumetric concentration of nanoparticles. Much of the task is hence reduced to a particular case for a chosen fluid. By the help of specified transformations, the nanofluid results can be obtained from known properties of regular fluid. Such rescaling is shown to work well for the rotating disk boundary layer flow in nanofluid, and thus sheds light upon the future studies of this kind when further physical mechanism are taken into account.

References

References
1.
Das
,
S. K.
,
Choi
,
S. U. S.
,
Yu
,
W.
, and
Pradeep
,
T.
,
2007
,
Nanofluids: Science and Technology
,
Wiley
,
Hoboken, NJ
.
2.
Wang
,
X.-Q.
, and
Mujumdar
,
A. S.
,
2008
, “
A Review on Nanofluids—Part I: Theoretical and Numerical Investigations
,”
Braz. J. Chem. Eng.
,
25
(
4
), pp.
613
630
.
3.
Kakac
,
S.
, and
Pramuanjaroenkij
,
A.
,
2009
, “
Review of Convective Heat Transfer Enhancement With Nanofluids
,”
Int. J. Heat Mass Transfer
,
52
(
13–14
), pp.
3187
3196
.10.1016/j.ijheatmasstransfer.2009.02.006
4.
Bachok
,
N.
,
Ishak
,
A.
, and
Pop
,
I.
,
2012
, “
Flow and Heat Transfer Characteristics on a Moving Plate in a Nanofluid
,”
Int. J. Heat Mass Transfer
,
55
(
4
), pp.
642
648
.10.1016/j.ijheatmasstransfer.2011.10.047
5.
Yacob
,
N. A.
,
Ishak
,
A.
, and
Pop
,
I.
,
2011
, “
Falkner–Skan Problem for a Static or Moving Wedge in Nanofluids
,”
Int. J. Therm. Sci.
,
50
(
2
), pp.
133
139
.10.1016/j.ijthermalsci.2010.10.008
6.
Grosan
,
T.
, and
Pop
,
I.
,
2011
, “
Axisymmetric Mixed Convection Boundary Layer Flow Past a Vertical Cylinder in a Nanofluid
,”
Int. J. Heat Mass Transfer
,
54
(
15–16
), pp.
3139
3145
.10.1016/j.ijheatmasstransfer.2011.04.018
7.
Hamad
,
M. A. A.
,
Pop
,
I.
, and
Ismail
,
A. I. Md.
,
2011
, “
Magnetic Field Effects on Free Convection Flow of a Nanofluid Past a Vertical Semi-Infinite Flat Plate
,”
Nonlinear Anal. Real World Appl
.,
12
(
3
), pp.
1338
1346
.10.1016/j.nonrwa.2010.09.014
8.
Mahdy
,
A.
, and
ElShehabey
,
H. M.
,
2012
, “
Uncertainties in Physical Property Effects on Viscous Flow and Heat Transfer Over a Nonlinearly Stretching Sheet With Nanofluids
,”
Int. Commun. Heat Mass Transfer
,
39
(
5
), pp.
713
719
.10.1016/j.icheatmasstransfer.2012.03.019
9.
Oztop
,
H. F.
, and
Abu-Nada
,
E.
,
2008
, “
Numerical Study of Natural Convection in Partially Heated Rectangular Enclosures Filled With Nanofluids
,”
Int. J. Heat Fluid Flow
,
29
(
5
), pp.
1326
1336
.10.1016/j.ijheatfluidflow.2008.04.009
10.
Turkyilmazoglu
,
M.
,
2014
, “
Unsteady Convection Flow of Some Nanofluids Past a Moving Vertical Flat Plate With Heat Transfer
,”
ASME J. Heat Transfer
,
136
(
3
), pp.
1
6
.10.1016/j.ijheatmasstransfer.2014.01.009
11.
Turkyilmazoglu
,
M.
,
2012
, “
Multiple Analytic Solutions of Heat and Mass Transfer of Magnetohydrodynamic Slip Flow for Two Types of Viscoelastic Fluids Over a Stretching Surface
,”
ASME J. Heat Transfer
,
134
(
7
), pp.
1
7
.10.1115/1.4006165
12.
Turkyilmazoglu
,
M.
,
2011
, “
Analytic Heat and Mass Transfer of the Mixed Hydrodynamic/Thermal Slip MHD Viscous Flow Over a Stretching Sheet
,”
Int. J. Mech. Sci.
,
53
(
10
), pp.
886
896
.10.1016/j.ijmecsci.2011.07.012
13.
Turkyilmazoglu
,
M.
,
2011
, “
Multiple Solutions of Heat and Mass Transfer of MHD Slip Flow for the Viscoelastic Fluid Over a Stretching Sheet
,”
Int. J. Therm. Sci.
,
50
(
11
), pp.
2264
2276
.10.1016/j.ijthermalsci.2011.05.014
14.
Turkyilmazoglu
,
M.
,
2012
, “
Exact Analytical Solutions for Heat and Mass Transfer of MHD Slip Flow in Nanofluids
,”
Chem. Eng. Sci.
,
84
(17), pp.
182
187
.10.1016/j.ces.2012.08.029
15.
von Kármán
,
T.
,
1921
, “
Über Laminare und Turbulente Reibung
,”
Z. Angew. Math. Mech.
,
1
(
4
), pp.
233
252
.10.1002/zamm.19210010401
16.
Stuart
,
J. T.
,
1954
, “
On the Effects of Uniform Suction on the Steady Flow Due to a Rotating Disk
,”
Q. J. Mech. Appl. Math.
,
7
(
4
), pp.
446
457
.10.1093/qjmam/7.4.446
17.
Sparrow
,
E. M.
, and
Gregg
,
J. L.
,
1960
, “
Mass Transfer, Flow, and Heat Transfer About a Rotating Disk
,”
ASME J. Heat Transfer
,
82
(
4
), pp.
294
302
.10.1115/1.3679937
18.
Turkyilmazoglu
,
M.
,
2010
, “
Purely Analytic Solutions of Magnetohydrodynamic Swirling Boundary Layer Flow Over a Porous Rotating Disk
,”
Comput. Fluids
,
39
(
5
), pp.
793
799
.10.1016/j.compfluid.2009.12.007
19.
Turkyilmazoglu
,
M.
,
2014
, “
Nanofluid Flow and Heat Transfer Due to a Rotating Disk
,”
Comput. Fluids
,
94
(6), pp.
139
146
.10.1016/j.compfluid.2014.02.009
20.
Bachok
,
N.
,
Ishak
,
A.
, and
Pop
,
I.
,
2011
, “
Flow and Heat Transfer Over a Rotating Porous Disk in a Nanofluid
,”
Physica B
,
406
(
9
), pp.
1767
1772
.10.1016/j.physb.2011.02.024
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