NON-UNIFORM HEAT SOURCE AND MELTING HEAT EFFECT ON CASSON NANOFLUID FLOW OVER A RIGA PLATE IN THE PRESENCE OF NONLINEAR THERMAL RADIATION
Keywords:
nonlinear thermal radiation, Melting heat transfer, Riga plate, non-uniform heat source, Casson nanofluidAbstract
This paper investigates the effects of a non-uniform heat source and melting heat transfer on Casson nanofluid over a Riga plate in the presence of nonlinear thermal radiation with viscous dissipation. The effects of thermophoresis and Brownian motion are also taken into account in this study. The linked non-linear partial differential equations that regulate nanofluid flow are reduced to couple non-linear ordinary differential equations using local similarity variables and then numerically solved using the Spectral Collocation technique, as shown in the current flow mathematical modelling. The effects of flow control parameters on fluid flow, temperature, and nanoparticle concentration are shown qualitatively and quantitatively. As can be seen, the results clearly show that the newly investigated factors have a significant influence on Casson fluid viscosity, thermal and chemical species transmission.
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References
A. Gailitis, O. Lielausis, On a possibility to reduce the hydrodynamic resistance of a plate in an electrolyte. Appl Magnetohydrodyn Rep Phys Inst Riga 1961; 12:143–6.
Z. Iqbal, E. Azhar, Z. Mehmood , E.N. Maraj, Melting heat transport of nanofluidic problem over a Riga plate with erratic thickness: Use of Keller Box scheme, Results in Physics 7 (2017) 3648–3658
S. Nasrin, R. N. Monda, Md. M. Alam, Impulsively Started Horizontal Riga Plate Embedded in Unsteady Casson Fluid Flow with Rotation, Journal of Applied Mathematics and Physics, 8 (2020)1861-1876
K. K. Asogwa, S. M. Bilal, I. L. Animasaun, F. M. Oudina, Insight into the significance of ramped wall temperature and ramped surface concentration: The case of Casson fluid flow on an inclined Riga plate with heat absorption and chemical reaction, Nonlinear Engineering 10 (2021) 213–230
A. Naseem, A. Shafiq, L. Zhao, M.U. Farooq, Analytical investigation of third grade nanofluidic flow over a riga plate using Cattaneo-Christov model, Results in Physics 9 (2018) 961–969
P. Loganathan and K. Deepa, Computational exploration of Casson fluid flow over a Riga-plate with variable chemical reaction and linear stratification, Nonlinear Analysis: Modelling and Control, 25(3) 2020, 443–460
P. Loganathan and K. Deepa, Electromagnetic and radiative Casson fluid flow over a permeable vertical Riga- plate, Journal of Theoretical and Applied Mechanics 57(4), (2019) 987-998.
T. Hayat, T. Abbas, M. Ayub, M. Farooq, A. Alsaedi, Flow of nanofluid due to convectively heated Riga plate with variable thickness. J Mol Liq 222 (2016) 854–62.
Ahmed N, Adnan U Khan, Mohyud-Din ST. Influence of thermal radiation and viscous dissipation on squeezed flow of water between Riga plates saturated with carbon nanotubes. Coll Surf A Phys Eng Asp, 522 (2017)389– 98.
R. Mehmood, M. K. Nayak, N. S. Akber, O.D. Makinde. Effects of thermal-diffusion and diffusion-thermo on oblique stagnationpoint flow of couple stress Casson fluid over a stretched horizontal Riga plate with higher order chemical reaction. J. Nanofluids. 8(1) (2019) 94–102.
K. V. Raju1, S.R.R. Reddy, P. B. A. Reddy, Effects Of Viscous Dissipation And Non-Uniform Heat Source/Sink On Casson Fluid Flow Over An Unsteady Inclined Permeable Stretching Surface, Int. J. Sci. Res. in Mathematical and Statistical Sciences, Vol. 5(6), Dec 2018, ISSN: 2348-4519.
E. K. Ghiasia, R. Saleh, 2d Flow of Casson Fluid With Non-Uniform Heat Source/Sink And Joule Heating, Frontiers in Heat and Mass Transfer (FHMT), 12, 4 (2019) Global Digital Central DOI: 10.5098/hmt.12.4
Y.X. Li, M. I. U. Rehman, W.H. Huang, M. I. Khan, S. U. Khan, R. Chinram, S. Kadry, Dynamics of Casson nanoparticles with non-uniform heat source/sink: A numerical analysis, Ain Shams Engineering Journal 13 (2022) 101496
M. Krishnaiah, P. Rajendar, T. V. Laxmi, M. C. K. Reddy, Influence of non-uniform heat source/sink on stagnation point flow of a MHD Casson nanofluid flow over an exponentially stretching surface, Global Journal of Pure and Applied Mathematics. ISSN 0973-1768 Volume 13, Number 10 (2017), 7009-7033.
S.B. Kerur, J.V. Tawade, M. Biradar, B. K. Manvi, Effect of Non uniform heat source / Sink for the Casson nanofluid in presence of Viscous Dissipation over the porous stretching sheet, Journal of Engineering Science, 11 (7) 2020, 114-126.
R. Tsai, K.H. Huang, J.S. Huang, Flow and heat transfer over an unsteady stretching surface with non-uniform heat source, International Communications in Heat and Mass Transfer 35 (2008) 1340–1343
F. Mabood, K. Das, W. A. Khan, M. Khan, M. Irfan, A.S. Alshomrani, Impact of melting heat transfer and nonlinear radiative heat flux mechanisms for the generalized Burgers fluids, Results in Physics 7 (2017) 4025– 4032
U. Ehrenstein, R. Peyret, A Chebyshev spectral collocation method for the Navier-Stokes equations with application to double-diffusive convection. Int J Number Meth Fl. 1989;9:427–452.
B.A. Finlayson, The method of weighted residuals and variational principles. New York: Academic Press; 1972.
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