# 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

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Figure 9: Nano particle fraction for variation in F

Figure 10: For A = 0:3, the behavior of Stream lines

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flow of a non-newtonian fluid over a vertical stretching

sheet, Can J Appl Sci 2 (1) (2012) 202–215.

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8-constant fluid between coaxial cylinders with variable viscosity, Communications

in Theoretical Physics 56 (5) (2011) 933.

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nanofluid flow over a stretching sheet, Applied Nanoscience 4 (5)

(2014) 625–631.

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of mhd eyring-powell nanofluid over a stretching sheet: A numerical

study, AIP advances 5 (11) (2015) 117118.

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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: 01 aug. 2021.
Issue

Section

Materials Science

### Keywords

Heat transfer; Casson Nanofluid; Concentric cylinders; Numerical solution.

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