THERMAL SCIENCE
International Scientific Journal
EXPLORATION OF CASSON FLUID-FLOW ALONG EXPONENTIAL HEAT SOURCE IN A THERMALLY STRATIFIED POROUS MEDIA
ABSTRACT
Objective of the present investigation is intended to study the MHD Casson fluids flow through an exponentially stretching surface. This free convective flow is investigated in thermally stratified porous medium. Also viscosity along with thermal conductivity is varying with temperature. With the exponential decay for the internal heat generation in the region and buoyancy force, the natural-convection is induced. Then the transformed set of equations of the flow after applying suitable similarity solutions were encountered by Shooting Technique in conjunction with the fourth ordered Runge-Kutta method. Outputs illustrates that with increased viscosity parameter an increasing velocity profile is noticed but a decrement is observed for temperature field in entire domain and near the wall for temperature gradient profile. Also with increased Casson fluids parameter decreasing velocity profile is noticed but an increment is observed for temperature field in entire domain and for temperature gradient profile near the wall.
KEYWORDS
PAPER SUBMITTED: 2022-02-11
PAPER REVISED: 2022-03-14
PAPER ACCEPTED: 2022-03-24
PUBLISHED ONLINE: 2023-04-08
- Crane, L. J., Flow Past a Stretching Plate, Z Angew Math. Phys., 21 (1970), 4, pp. 645-647
- Gupta, P. S., Gupta, A. S., Heat and Mass Transfer on a Stretching Sheet with Suction or Blowing, The Canadian Journal of Chemical Engineering, 55 (1977), 6, pp. 744-746
- Kumaran, V., Ramanaiah, G., A Note on the Flow over a Stretching Sheet, Acta Mechanica, 116 (1996), Mar., pp. 229-233
- Elbashbeshy, E. M. A., Heat Transfer over an Exponentially Stretching Continuous Surface with Suction, Archives of Mechanics, 53 (2001), 6, pp. 643-651
- Jat, R. N., et al., The MHD Boundary-Layer Flow and Heat Transfer of Caisson Fluid over a Moving Porous Plate with Viscous Dissipation and Thermal Radiation Effects, Journal of Rajasthan Academy of Physical Sciences, 16 (2017), 33-4, pp. 211-232
- Al-Odat, M. Q., et al., Thermal Boundary-Layer on an Exponentially Stretching Continuous Surface in the Presence of Magnetic Field Effect, International Journal of Applied Mechanics and Engineering, 11 (2006), 2, pp. 289-299
- Watanabe, T., Pop, I., Magnetohydrodynamic Free Convection Flow over a Wedge in the Presence of a Transverse Magnetic Field, International Communications in Heat and Mass Transfer, 20 (1993) 6, pp. 871-881
- Crepeau, J. C., Clarksean, R., Similarity Solutions of Natural-Convection with Internal Heat Generation, Transactions of ASME - Journal of Heat Transfer, 119 (1997), 1, pp. 184-185
- Dessie, H., Kishan, N., The MHD Effects on Heat Transfer over Stretching Sheet Embedded in Porous Medium with Variable Viscosity, Viscous Dissipation and Heat Source/Sink, Ain Shams Engineering Journal, 5 (2014), 3, pp. 967-977
- Animasaun, I. L., Casson Fluid-flow with Variable Viscosity and Thermal Conductivity along Exponentially Stretching Sheet Embedded in a Thermally Stratified Medium with Exponentially Heat Generation, Journal of Heat and Mass Transfer Research, 2 (2015), 2, pp. 63-78
- Mabood, F. et al., Impact of Heat Generation/Absorption of Magnetohydrodynamics Oldroyd-B Fluid Impinging on an Inclined Stretching Sheet with Radiation, Scientific Reports, 10 (2020), 17688
- Tharapatla, G. et al., Effects of Heat and Mass Transfer on MHD Non-Linear Free Convection Non-Newtonian Fluids Flow Embedded in a Thermally Stratified Porous Medium, Heat Transfer, 50 (2021), 4, pp. 3480- 3500
- Mukhopadhyay, S., Casson Fluid-Flow and Heat Transfer over a Non-Linearly Stretching Surface, Chinese Physics, 22 (2013), 7, 074701
- Abu-Romia, M. M., Pyare, R., Approximate Analysis for Transient Heat Conduction with Radiation in a Slab. Appl. Sci. Res., 24 (1971), Dec., pp. 354-366
- Abegunrin, O. A. et al., Comparison between the Flow of Two Non-Newtonian Fluids over an Upper Horizontal Surface of Paraboloid of Revolution: Boundary-Layer Analysis, Alexandria Engineering Journal, 55 (2016), 3, pp. 1915-1929
- Agrawal, P. et al., Magneto Marangoni flow of γ-AL2O3 Nanofluids with Thermal Radiation and Heat Source/Sink Effects over a Stretching Surface Embedded in Porous Medium, Case Studies in Thermal Engineering, 23 (2021), 100802
- Salem, A. M., Fathy, R., Effects of Variable Properties on MHD Heat and Mass Transfer Flow Near a Stagnation Point Towards a Stretching Sheet in a Porous Medium with Thermal Radiation, Chinese Physics, B21 (2012), 5, pp. 1-11
- Bidin, B., Nazar, R., Numerical Solution of the Boundary-Layer Flow over an Exponentially Stretching Sheet with Thermal Radiation, European Journal of Scientific Research, 33 (2009), Jan., pp. 710-717
- Nadeem, S. et al., Effects of Thermal Radiation on the Boundary-Layer Flow of a Jeffrey Fluid over an Exponentially Stretching Surface, Numerical Algorithms, 57 (2011), Sept., pp. 187-205