THERMAL SCIENCE

International Scientific Journal

NUMERICAL STUDY OF THERMAL RADIATIONS AND THERMAL STRATIFICATION MECHANISMS IN MAGNETOHYDRODYNAMIC CASSON FLUID-FLOW

ABSTRACT
The features of Casson liquid when flow field is thermally stratified are offered in this article. The flow is taken through an inclined cylinder with both MHD fluid and thermal radiations assumptions. A mathematical model is constructed in terms of differential equations via fundamental laws. Since the resultant system is non-linear so a self-coded computational algorithm is implemented to report numerical solution. The obtain observations in this regard are presented by way of both tabular and graphical trends. It is noticed that the Casson fluid temperature is decreasing function of thermal stratification parameter while opposite trend is observed via thermal radiation parameter. Moreover, the cylindrical geometry admits enlarged variations towards involved physical parameters as compared to flat surface.
KEYWORDS
PAPER SUBMITTED: 2018-04-24
PAPER REVISED: 2018-05-20
PAPER ACCEPTED: 2018-06-05
PUBLISHED ONLINE: 2018-09-30
DOI REFERENCE: https://doi.org/10.2298/TSCI180424192R
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2020, VOLUME 24, ISSUE Issue 2, PAGES [1093 - 1104]
REFERENCES
  1. Batra, R. L., Bigyani J., Flow of a Casson fluid in a slightly curved tube, International Journal of Engineering Science, 29 (1991), 10, pp. 1245-1258.
  2. Sharp, M. K., Shear-augmented dispersion in non-Newtonian fluids, Annals of Biomedical Engineering, 21(1993), 04, pp. 407-415.
  3. Dash, R. K., et al., Casson fluid flow in a pipe filled with a homogeneous porous medium, International Journal of Engineering Science, 34 (1996), 10, pp. 1145-1156.
  4. Kameswaran, P. K., et al., Dual solutions of Casson fluid flow over a stretching or shrinking sheet, Sadhana, 39 (2014), 06, pp. 1573-1583.
  5. Khalid, A., et al., Unsteady MHD free convection flow of Casson fluid past over an oscillating vertical plate embedded in a porous medium, Engineering Science and Technology, an International Journal, 18 (2015), 03, pp. 309-317.
  6. Animasaun, I. L., Effects of thermophoresis, variable viscosity and thermal conductivity on free convective heat and mass transfer of non-Darcian MHD dissipative Casson fluid flow with suction and nth order of chemical reaction, Journal of the Nigerian Mathematical Society , 34 (2015), 01, pp. 11-31.
  7. Raju, C. S. K, Sandeep, N., Unsteady Casson nanofluid flow over a rotating cone in a rotating frame filled with ferrous nanoparticles: A Numerical study, Journal of Magnetism and Magnetic Materials, 421 (2017), pp. 216-224..
  8. Nawaz, M., et al., Magnetohydrodynamic axisymmetric flow of Casson fluid with variable thermal conductivity and free stream, Alexandria Engineering Journal (2017). doi.org/10.1016/j.aej.2017.05.016
  9. Rehman, K. U., et al., Numerical communication for MHD thermally stratified dual convection flow of Casson fluid yields by stretching cylinder, Chinese Journal of Physics, 55 (2017),04, pp. 1605-1614.
  10. Rehman, K. U., et al., Numerical analysis of MHD Casson Navier's slip nanofluid flow yield by rigid rotating disk, Results in Physics, 8 (2018),3, pp. 744-751.
  11. Chakrabarti, A, Gupta, A.S., Hydromagnetic flow and heat transfer over a stretching sheet, Quarterly of Applied Mathematics, 37(1979) , 01, pp. 73-78.
  12. Akbar, et al., Numerical analysis of magnetic field effects on Eyring-Powell fluid flow towards a stretching sheet, Journal of Magnetism and Magnetic Materials, 382 (2015), pp. 355-358.
  13. Ishak, A., et al., Hydromagnetic flow and heat transfer adjacent to a stretching vertical sheet, Heat and Mass Transfer, 44 (2008), 08, pp. 921.
  14. Zeeshan, A., et al., Effect of magnetic dipole on viscous ferro-fluid past a stretching surface with thermal radiation, Journal of Molecular liquids, 215 (2016), pp. 549-554.
  15. Ellahi, R., et al., Numerical study of magnetohydrodynamics generalized Couette flow of Eyring-Powell fluid with heat transfer and slip condition, International Journal of Numerical Methods for Heat & Fluid Flow, 26, (2016), 05, pp. 1433-1445
  16. Zeeshan, A., et al., Mixed convection flow and heat transfer in ferromagnetic fluid over a stretching sheet with partial slip effects, Thermal Science, doi.org/10.2298/TSCI160610268Z
  17. Bhatti, M. M., et al., Simultaneous effects of coagulation and variable magnetic field on peristaltically induced motion of Jeffrey nanofluid containing gyrotactic microorganism, Microvascular research, 110 (2017), pp. 32-42.
  18. Ellahi, R., et al., On boundary layer nano-ferroliquid flow under the influence of low oscillating stretchable rotating disk, Journal of Molecular Liquids, 229 (2017), pp. 339-345.
  19. Bhatti, M. M., et al., Heat and mass transfer of two-phase flow with Electric double layer effects induced due to peristaltic propulsion in the presence of transverse magnetic field, Journal of Molecular Liquids, 230 (2017), pp. 237-246.
  20. Hassan, M., et al., Particle shape effects on ferrofuids flow and heat transfer under influence of low oscillating magnetic field, Journal of Magnetism and Magnetic Materials, 443 (2017) pp. 36-44.
  21. Rehman, K. U. Malik, M. Y., Application of shooting method on MHD thermally stratified mixed convection flow of non-Newtonian fluid over an inclined stretching cylinder, Journal of Physics: Conference Series, 822, (2017) 01, pp. 012012.
  22. Khan, A. A., et al., Mass transport on chemicalized fourth-grade fluid propagating peristaltically through a curved channel with magnetic effects, Journal of Molecular Liquids, 258 (2018), pp. 186-195.
  23. Bhatti, M. M., et al., Mathematical modeling of heat and mass transfer effects on MHD peristaltic propulsion of two-phase flow through a Darcy-Brinkman-Forchheimer porous medium, Advanced Powder Technology, 29 (2018), 04, pp. 1189-1197.
  24. Hayat, T., et al., Magnetohydrodynamic flow of Powell-Eyring fluid by a stretching cylinder with Newtonian heating, Thermal Science, 22 (2018), 01, pp.371-382.
  25. Azimi, M, Rouzbeh R., MHD go-water nanofluid flow and heat transfer between two parallel moving disks, Thermal Science, 00 (2016) pp. 163-163.
  26. Rahman, M. M, Salahuddin, K. M., Study of hydromagnetic heat and mass transfer flow over an inclined heated surface with variable viscosity and electric conductivity, Communications in Nonlinear Science and Numerical Simulation, 15(2010), 08, pp. 2073-2085.
  27. Ellahi, R., et al., A study of heat transfer in power law nanofluid, Thermal Science, 00 (2015), pp. 129-129.
  28. Milani S., et al., Numerical study of surface radiation and combined natural convection heat transfer in a solar cavity receiver, International Journal of Numerical Methods for Heat & Fluid Flow, 27 (2017), 10, pp. 2385-2399.
  29. Rehman, K. U., et al., Dual stratified mixed convection flow of Eyring-Powell fluid over an inclined stretching cylinder with heat generation/absorption effect, AIP Advances, 6(2016), 07, pp. 075112.
  30. Rehman, K. U., et al., Magneto-nanofluid numerical modelling of chemically reactive Eyring-Powell fluid flow towards both flat and cylindrical an inclined surfaces: A comparative study, AIP Advances, 7 (2017), 06, pp. 065103.
  31. Awais, M., et al., A computational analysis subject to thermophysical aspects of Sisko fluid flow over a cylindrical surface, The European Physical Journal Plus, 132(2017), 09, pp. 392.
  32. Bidin, B, Roslinda N., Numerical solution of the boundary layer flow over an exponentially stretching sheet with thermal radiation, European journal of scientific research, 33 (2009), 04, pp. 710-717.
  33. Mukhopadhyay, S., MHD boundary layer flow and heat transfer over an exponentially stretching sheet embedded in a thermally stratified medium, Alexandria Engineering Journal, 52 (2013), 03, pp. 259-265.

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