Research Article

Hall impact on the MHD fluid flow and heat transfer with uniform radial electric field due to a stretching rotating disk

Volume: 51 Number: 2 April 1, 2022
EN

Hall impact on the MHD fluid flow and heat transfer with uniform radial electric field due to a stretching rotating disk

Abstract

In the current paper, the steady flow of an incompressible electrically conducting fluid and heat transfer are studied. In these, we consider the Hall effect over an infinite stretching rotating disk in presence of a magnetic field. Navier-Stokes equations, Maxwell equation and energy equation have been modified in the presence of the Hall impact. Moreover, the uniform magnetic field, and the radial electric field are applied. With the help of the usual similarity transformations, these modified equations are simplified to a set of nonlinear ordinary differantial equations. Numerical solutions of the equations are obtained by using the Chebyshev collocation technique for different values of the entire of the physical parameters. The accuracy of the method is verified by comparing with the results in the literature. The influences of Hall parameter in these equations system are depicted graphically and analyzed.

Keywords

References

  1. [1] L. Aisling and R. Ake, Crystal Growth of Single Salicylamide Crystals, Cryst Growth Des., 2019.
  2. [2] T. Altan, S. Oh and H. Gerel, Metal forming Fundamentals and Applications, American Society of Metals, Metals Park, 1979.
  3. [3] H.A. Attia, K.M. Ewis, I.H.A. Elmaksoud and N. A. Awad-Allah, Hydromagnetic rotating disk flow of a non-Newtonian fluid with heat transfer and ohmic heating, J. Korean Soc. Ind. Appl. Math. 16 (3), 169-180, 2012.
  4. [4] H.A. Attia, Effect of Hall current on the velocity and temperature distributions of Couette flow with variable properties and uniform suction and injection, Comput. Appl. Math. 28 (2), 195-212, 2009.
  5. [5] A.L. Aboul-Hassan and H.A. Attia, The flow due to rotating disk with hall effect, Phys. Lett. A 228, 286-290, 1997.
  6. [6] E.T. Benton, On the flow due do rotating disk, J. Fluid Mech. 24, 781-800, 1966.
  7. [7] R.D. Cess, Unsteady heat transfer from a rotating disk to fluids with low Prandtl numbers, Appl. Sci. Res. 13 (1), 233-240, 1964.
  8. [8] W.G. Cochran, The flow due to rotating disk, Proc. Cambridge Philos. Soc. 30, 365-375, 1934.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Publication Date

April 1, 2022

Submission Date

May 12, 2020

Acceptance Date

November 29, 2021

Published in Issue

Year 2022 Volume: 51 Number: 2

APA
Uygun Ercan, N. (2022). Hall impact on the MHD fluid flow and heat transfer with uniform radial electric field due to a stretching rotating disk. Hacettepe Journal of Mathematics and Statistics, 51(2), 509-524. https://doi.org/10.15672/hujms.735733
AMA
1.Uygun Ercan N. Hall impact on the MHD fluid flow and heat transfer with uniform radial electric field due to a stretching rotating disk. Hacettepe Journal of Mathematics and Statistics. 2022;51(2):509-524. doi:10.15672/hujms.735733
Chicago
Uygun Ercan, Nihan. 2022. “Hall Impact on the MHD Fluid Flow and Heat Transfer With Uniform Radial Electric Field Due to a Stretching Rotating Disk”. Hacettepe Journal of Mathematics and Statistics 51 (2): 509-24. https://doi.org/10.15672/hujms.735733.
EndNote
Uygun Ercan N (April 1, 2022) Hall impact on the MHD fluid flow and heat transfer with uniform radial electric field due to a stretching rotating disk. Hacettepe Journal of Mathematics and Statistics 51 2 509–524.
IEEE
[1]N. Uygun Ercan, “Hall impact on the MHD fluid flow and heat transfer with uniform radial electric field due to a stretching rotating disk”, Hacettepe Journal of Mathematics and Statistics, vol. 51, no. 2, pp. 509–524, Apr. 2022, doi: 10.15672/hujms.735733.
ISNAD
Uygun Ercan, Nihan. “Hall Impact on the MHD Fluid Flow and Heat Transfer With Uniform Radial Electric Field Due to a Stretching Rotating Disk”. Hacettepe Journal of Mathematics and Statistics 51/2 (April 1, 2022): 509-524. https://doi.org/10.15672/hujms.735733.
JAMA
1.Uygun Ercan N. Hall impact on the MHD fluid flow and heat transfer with uniform radial electric field due to a stretching rotating disk. Hacettepe Journal of Mathematics and Statistics. 2022;51:509–524.
MLA
Uygun Ercan, Nihan. “Hall Impact on the MHD Fluid Flow and Heat Transfer With Uniform Radial Electric Field Due to a Stretching Rotating Disk”. Hacettepe Journal of Mathematics and Statistics, vol. 51, no. 2, Apr. 2022, pp. 509-24, doi:10.15672/hujms.735733.
Vancouver
1.Nihan Uygun Ercan. Hall impact on the MHD fluid flow and heat transfer with uniform radial electric field due to a stretching rotating disk. Hacettepe Journal of Mathematics and Statistics. 2022 Apr. 1;51(2):509-24. doi:10.15672/hujms.735733

Cited By