Numerical Solution of a Casson Nanofluid flow and heat transfer analysis between Concentric Cylinders
Abstract
The current investigation deals with heat transfer of a non-newtonian fluid between two concentric cylinders. To describe thebehavior of non-Newtonian fluid casson fluid model is used because of its various useful applications. The governing partialdifferential equations suchlike continuity, momentum, energy, solute concentration and nano-particle fraction equations aretransubstantiated into non-linear ordinary differential equations with the assistance of resemblance alteration. Then thoseare numerically solved by the very efficient shooting method. Additionally, influences of distinct involved parameters areinterpreted graphically. It is adhered that the velocity field shows inclined behavior due to the increment in the values of thecasson parameter, so long as enhancing the temperature.References
[1] M. Y. Malik, A. Hussain, S. Nadeem, T. Hayat, Flow of a third grade
fluid between coaxial cylinders with variable viscosity, Zeitschrift für
Naturforschung A 64 (9-10) (2009) 588–596.
Figure 9: Nano particle fraction for variation in F
Figure 10: For A = 0:3, the behavior of Stream lines
[2] D. Vieru, M. Nazar, C. Fetecau, C. Fetecau, New exact solutions corresponding
to the first problem of stokes for oldroyd-b fluids, Computers
& Mathematics with Applications 55 (8) (2008) 1644–1652.
[3] W. Tan, T. Masuoka, Stokes’ first problem for an oldroyd-b fluid in a
porous half space, Physics of Fluids 17 (2) (2005) 023101.
[4] M. Y. Malik, A. Hussain, S. Nadeem, Analytical treatment of an oldroyd
8-constant fluid between coaxial cylinders with variable viscosity, Communications
in Theoretical Physics 56 (5) (2011) 933.
[5] T. Hayat, S. Nadeem, A. M. Siddiqui, S. Asghar, An oscillating hydromagnetic
non-newtonian flow in a rotating system, Applied mathematics
letters 17 (5) (2004) 609–614.
[6] A. Shahzad, R. Ali, Approximate analytic solution for magnetohydrodynamic
flow of a non-newtonian fluid over a vertical stretching
sheet, Can J Appl Sci 2 (1) (2012) 202–215.
[7] M. Y. Malik, A. Hussain, S. Nadeem, Analytical treatment of an oldroyd
8-constant fluid between coaxial cylinders with variable viscosity, Communications
in Theoretical Physics 56 (5) (2011) 933.
[8] S. Nadeem, R. U. Haq, Z. Khan, Numerical solution of non-newtonian
nanofluid flow over a stretching sheet, Applied Nanoscience 4 (5)
(2014) 625–631.
[9] M. Hameed, S. Nadeem, Unsteady mhd flow of a non-newtonian fluid on a porous plate, Journal of Mathematical Analysis and Applications
325 (1) (2007) 724–733.
[10] M. Malik, I. Khan, A. Hussain, T. Salahuddin, Mixed convection flow
of mhd eyring-powell nanofluid over a stretching sheet: A numerical
study, AIP advances 5 (11) (2015) 117118.
[11] R. U. Haq, S. Nadeem, Z. Khan, N. Noor, Mhd squeezed flow of water
functionalized metallic nanoparticles over a sensor surface, Physica E:
Low-dimensional Systems and Nanostructures 73 (2015) 45–53.
[12] S. Nadeem, N. S. Akbar, Peristaltic flow of walter’s b fluid in a uniform
inclined tube, Journal of Biorheology 24 (1) (2010) 22–28.
[13] M. Malik, M. Bibi, F. Khan, T. Salahuddin, Numerical solution of
williamson fluid flow past a stretching cylinder and heat transfer with
variable thermal conductivity and heat generation/absorption, AIP Advances
6 (3) (2016) 035101.
[14] S. Nadeem, R. U. Haq, C. Lee, Mhd flow of a casson fluid over an exponentially
shrinking sheet, Scientia Iranica 19 (6) (2012) 1550–1553.
[15] A. Rehman, S. Achakzia, S. Nadeem, S. Iqbal, Stagnation point flow
of eyring powell fluid in a vertical cylinder with heat transfer, Journal of
Power Technologies 96 (1) (2016) 57–62.
[16] M. Viloria Ochoa, Analysis of drilling fluid rheology and tool joint effect
to reduce errors in hydraulics calculations, Ph.D. thesis, Texas A&M
University (2006).
[17] R. Ellahi, Effects of the slip boundary condition on non-newtonian flows
in a channel, Communications in Nonlinear Science and Numerical
Simulation 14 (4) (2009) 1377–1384.
[18] R. Ellahi, A. Riaz, Analytical solutions for mhd flow in a third-grade fluid
with variable viscosity, Mathematical and Computer Modelling 52 (9-
10) (2010) 1783–1793.
[19] M. Sheikholeslami, D. D. Ganji, M. Y. Javed, R. Ellahi, Effect of thermal
radiation on magnetohydrodynamics nanofluid flow and heat transfer
by means of two phase model, Journal of Magnetism and Magnetic
Materials 374 (2015) 36–43.
[20] M. Sheikholeslami, M. G. Bandpy, R. Ellahi, A. Zeeshan, Simulation of
mhd cuo–water nanofluid flow and convective heat transfer considering
lorentz forces, Journal of Magnetism and Magnetic Materials 369
(2014) 69–80.
[21] M. Malik, I. Khan, A. Hussain, T. Salahuddin, Mixed convection flow
of mhd eyring-powell nanofluid over a stretching sheet: A numerical
study, AIP advances 5 (11) (2015) 117118.
[22] R. U. Haq, S. Nadeem, Z. Khan, N. Noor, Mhd squeezed flow of water
functionalized metallic nanoparticles over a sensor surface, Physica E:
Low-dimensional Systems and Nanostructures 73 (2015) 45–53.
fluid between coaxial cylinders with variable viscosity, Zeitschrift für
Naturforschung A 64 (9-10) (2009) 588–596.
Figure 9: Nano particle fraction for variation in F
Figure 10: For A = 0:3, the behavior of Stream lines
[2] D. Vieru, M. Nazar, C. Fetecau, C. Fetecau, New exact solutions corresponding
to the first problem of stokes for oldroyd-b fluids, Computers
& Mathematics with Applications 55 (8) (2008) 1644–1652.
[3] W. Tan, T. Masuoka, Stokes’ first problem for an oldroyd-b fluid in a
porous half space, Physics of Fluids 17 (2) (2005) 023101.
[4] M. Y. Malik, A. Hussain, S. Nadeem, Analytical treatment of an oldroyd
8-constant fluid between coaxial cylinders with variable viscosity, Communications
in Theoretical Physics 56 (5) (2011) 933.
[5] T. Hayat, S. Nadeem, A. M. Siddiqui, S. Asghar, An oscillating hydromagnetic
non-newtonian flow in a rotating system, Applied mathematics
letters 17 (5) (2004) 609–614.
[6] A. Shahzad, R. Ali, Approximate analytic solution for magnetohydrodynamic
flow of a non-newtonian fluid over a vertical stretching
sheet, Can J Appl Sci 2 (1) (2012) 202–215.
[7] M. Y. Malik, A. Hussain, S. Nadeem, Analytical treatment of an oldroyd
8-constant fluid between coaxial cylinders with variable viscosity, Communications
in Theoretical Physics 56 (5) (2011) 933.
[8] S. Nadeem, R. U. Haq, Z. Khan, Numerical solution of non-newtonian
nanofluid flow over a stretching sheet, Applied Nanoscience 4 (5)
(2014) 625–631.
[9] M. Hameed, S. Nadeem, Unsteady mhd flow of a non-newtonian fluid on a porous plate, Journal of Mathematical Analysis and Applications
325 (1) (2007) 724–733.
[10] M. Malik, I. Khan, A. Hussain, T. Salahuddin, Mixed convection flow
of mhd eyring-powell nanofluid over a stretching sheet: A numerical
study, AIP advances 5 (11) (2015) 117118.
[11] R. U. Haq, S. Nadeem, Z. Khan, N. Noor, Mhd squeezed flow of water
functionalized metallic nanoparticles over a sensor surface, Physica E:
Low-dimensional Systems and Nanostructures 73 (2015) 45–53.
[12] S. Nadeem, N. S. Akbar, Peristaltic flow of walter’s b fluid in a uniform
inclined tube, Journal of Biorheology 24 (1) (2010) 22–28.
[13] M. Malik, M. Bibi, F. Khan, T. Salahuddin, Numerical solution of
williamson fluid flow past a stretching cylinder and heat transfer with
variable thermal conductivity and heat generation/absorption, AIP Advances
6 (3) (2016) 035101.
[14] S. Nadeem, R. U. Haq, C. Lee, Mhd flow of a casson fluid over an exponentially
shrinking sheet, Scientia Iranica 19 (6) (2012) 1550–1553.
[15] A. Rehman, S. Achakzia, S. Nadeem, S. Iqbal, Stagnation point flow
of eyring powell fluid in a vertical cylinder with heat transfer, Journal of
Power Technologies 96 (1) (2016) 57–62.
[16] M. Viloria Ochoa, Analysis of drilling fluid rheology and tool joint effect
to reduce errors in hydraulics calculations, Ph.D. thesis, Texas A&M
University (2006).
[17] R. Ellahi, Effects of the slip boundary condition on non-newtonian flows
in a channel, Communications in Nonlinear Science and Numerical
Simulation 14 (4) (2009) 1377–1384.
[18] R. Ellahi, A. Riaz, Analytical solutions for mhd flow in a third-grade fluid
with variable viscosity, Mathematical and Computer Modelling 52 (9-
10) (2010) 1783–1793.
[19] M. Sheikholeslami, D. D. Ganji, M. Y. Javed, R. Ellahi, Effect of thermal
radiation on magnetohydrodynamics nanofluid flow and heat transfer
by means of two phase model, Journal of Magnetism and Magnetic
Materials 374 (2015) 36–43.
[20] M. Sheikholeslami, M. G. Bandpy, R. Ellahi, A. Zeeshan, Simulation of
mhd cuo–water nanofluid flow and convective heat transfer considering
lorentz forces, Journal of Magnetism and Magnetic Materials 369
(2014) 69–80.
[21] M. Malik, I. Khan, A. Hussain, T. Salahuddin, Mixed convection flow
of mhd eyring-powell nanofluid over a stretching sheet: A numerical
study, AIP advances 5 (11) (2015) 117118.
[22] R. U. Haq, S. Nadeem, Z. Khan, N. Noor, Mhd squeezed flow of water
functionalized metallic nanoparticles over a sensor surface, Physica E:
Low-dimensional Systems and Nanostructures 73 (2015) 45–53.
Published
2019-03-20
How to Cite
HUSSAIN, azad; JAVED, Fouzia; NADEEM, Sohail.
Numerical Solution of a Casson Nanofluid flow and heat transfer analysis between Concentric Cylinders.
Journal of Power Technologies, [S.l.], v. 99, n. 1, p. 25–30, mar. 2019.
ISSN 2083-4195.
Available at: <https://papers.itc.pw.edu.pl/index.php/JPT/article/view/1325>. Date accessed: 21 dec. 2024.
Issue
Section
Materials Science
Keywords
Heat transfer; Casson Nanofluid; Concentric cylinders; Numerical solution.
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
