Thin film flow of chemically reactive nonlinear thermally radiative magnetized variable viscosity fluid over a stretchable surface with non-uniform heat source/sink and Fick’s mass flux theory

References

• E. M. Abo-Eldahab and A. F. Ghonaim, “Radiation effect on heat transfer of a micropolar fluid through a porous medium,” Appl. Math. Comput., vol. 169, no. 1, pp. 500–510, 2005. DOI: 10.1016/j.amc.2004.09.059.
   Web of Science ®Google Scholar
• B. S. Dandapat and S. Chakraborthy, “Effects of variable fluid properties on unsteady thin film flow over a non-linear stretching sheet,” Int. J. Heat Mass Trans., vol. 53, no. 25–26, pp. 5757–5763, 2010. DOI: 10.1016/j.ijheatmasstransfer.2010.08.007.
   Web of Science ®Google Scholar
• I. Khan, “Significance of ramped temperature in the dynamics of unsteady viscoelastic fluid subjected to Lorentz force,” Front. Phys., vol. 10, pages 1-11, 2022 DOI: 10.3389/fphy.2022.924910.
   Web of Science ®Google Scholar
• I. C. Liu and A. M. Megahed, “Numerical study for the flow and heat transfer in a thin liquid film over an unsteady stretching sheet with variable fluid properties in the presence of thermal radiation,” J. Mech., vol. 28, no. 2, pp. 291–297, 2012. DOI: 10.1017/jmech.2012.32.
   Web of Science ®Google Scholar
• I. C. Liu and A. M. Megahed, “Homotopy perturbation method for thin film flow and heat transfer over an unsteady stretching sheet with internal heating and variable heat flux,” J. Appl. Math., vol. 2012, pp. 1–12, 2012. Article ID 418527. DOI: 10.1155/2012/418527.
   Google Scholar
• D. Pal and P. Saha, “Influence of nonlinear thermal radiation and variable viscosity on hydromagnetic heat and mass transfer in a thin liquid film over an unsteady stretching surface,” Int. J. Mech. Sci., vol. 119, pp. 208–216, 2016. DOI: 10.1016/j.ijmecsci.2016.09.026.
   Web of Science ®Google Scholar
• D. Pal, D. Chatterjee and S. K. Mondal, “Heat and mass transfer in thin nanoliquid film over an unsteady stretching sheet in a porous medium with chemical reaction and thermal radiation,” Int. J. Ambient Energy, vol. 43, no. 1, pp. 845-852, 2022 .
   Web of Science ®Google Scholar
• D. Pal, “Combined effects of non-uniform heat source/sink and thermal radiation on heat transfer over an unsteady stretching permeable surface,” Commun. Nonlinear Sci. Numer. Simulat., vol. 16, no. 4, pp. 1890–1904, 2011. DOI: 10.1016/j.cnsns.2010.08.023.
   Web of Science ®Google Scholar
• D. Pal, “Hall current and MHD effects on heat transfer over an unsteady stretching permeable surface with thermal radiation,” Comput. Math. Appl., vol. 66, no. 7, pp. 1161–1180, 2013. DOI: 10.1016/j.camwa.2013.07.010.
   Web of Science ®Google Scholar
• M. S. Abel, J. Tawade and M. M. Nandeppanavar, “Effects of non-uniform heat source on MHD heat transfer in a liquid film over an unsteady stretching sheet,” Int. J. non-Linear Mech., vol. 44, no. 9, pp. 990–998, 2009. DOI: 10.1016/j.ijnonlinmec.2009.07.004.
   Web of Science ®Google Scholar
• M. S. Abel, N. Mahesha and J. Tawade, “Heat transfer in a liquid film over an unsteady stretching surface with viscous dissipation in presence of external magnetic field,” Appl. Math. Modell., vol. 33, no. 8, pp. 3430–3441, 2009. DOI: 10.1016/j.apm.2008.11.021.
   Web of Science ®Google Scholar
• P. G. Metri, J. Tawade and M. S. Abel, “Thin film flow and heat transfer over an unsteady stretching sheet with thermal radiation, internal heating in presence of external magnetic field,” arXiv:1603.03664 [physics.flu-dyn], pp. 1-16, 2016. DOI: 10.48550/arXiv.1603.03664.
   Google Scholar
• S. Karthik, D. Iranian, H. Alhazmi, I. Khan, A. Singh and M. I. Khan, “Double diffusive on powell eyring fluid flow by mixed convection from an exponential stretching surface with variable viscosity/thermal conductivity,” Case Stud. Therm. Eng., vol. 55, pp. 1–20, 2024. DOI: 10.1016/j.csite.2024.104091.
   Google Scholar
• I. Khan, A. Raza, M. A. Shakir, A. S. Al-Johani, A. A. Pasha and K. Irshad, “Natural convection simulation of Prabhakar-like fractional maxwell fluid flowing on inclined plane with generalized thermal flux,” Case Stud. Therm. Eng., vol. 35, pp. 102042, 2022. DOI: 10.1016/j.csite.2022.102042.
   Web of Science ®Google Scholar
• C. Wang, “Analytic solutions for a liquid film on an unsteady stretching surface,” Heat Mass Trans., vol. 42, no. 8, pp. 759–766, 2006. DOI: 10.1007/s00231-005-0027-0.
   Web of Science ®Google Scholar
• D. Pal and D. Chatterjee, “Magneto-thermo heat transfer of a chemically reactive and viscous dissipative Casson nanofluid thin film over an unsteady stretching surface with variable thermal conductivity,” J. Nanofluids, vol. 12, no. 7, pp. 1973–1986, 2023. DOI: 10.1166/jon.2023.2055.
   Web of Science ®Google Scholar
• M. Narayana and P. Sibanda, “Laminar flow of a nanoliquid film over an unsteady stretching sheet,” Int. J. Heat Mass Transf., vol. 55, no. 25–26, pp. 7552–7560, 2012. DOI: 10.1016/j.ijheatmasstransfer.2012.07.054.
   Web of Science ®Google Scholar
• P. K. Sharma, B. K. Sharma, N. K. Mishra and H. Rajesh, “Impact of Arrhenius activation energy on MHD nanofluid flow past a stretching sheet with exponential heat source: a modified Buongiorno’s model approach,” Int. J. Mod. Phys. B, vol. 37, no. 32, pp. 2350284, 2023. DOI: 10.1142/S0217979223502843.
   Web of Science ®Google Scholar
• Z. Hussain, W. A. Khan and M. Ali, “Thermal radiation and heat sink/source aspects on 3D magnetized Sutterby fluid capturing thermophoresis particle deposition,” Int. J. Mod. Phys. B, vol. 37, no. 32, pp. 2350282, 2023. DOI: 10.1142/S021797922350282X.
   Web of Science ®Google Scholar
• S. E. Waheed, “Flow and heat transfer in a Maxwell liquid film over an unsteady stretching sheet in a porous medium with radiation,” SpringerPlus, vol. 5, no. 1, pp. 1061–1014, 2016. DOI: 10.1186/s40064-016-2655-x.
   PubMedGoogle Scholar
• D. Pal and H. Mondal, “MHD non-Darcy mixed convective diffusion of species over a stretching sheet embedded in a porous medium with non-uniform heat source/sink, variable viscosity and Soret effect,” CommNonlinear Sci. Numer. Simul., vol. 17, no. 2, pp. 672–684, 2012. DOI: 10.1016/j.cnsns.2011.05.035.
   Web of Science ®Google Scholar
• E. C. Lai and F. A. Kulacki, “Effects of variable viscosity on convective heat transfer along a vertical surface in a saturated porous medium,” Int. J. Heat Mass Trans., vol. 33, no. 5, pp. 1028–1031, 1990. DOI: 10.1016/0017-9310(90)90084-8.
   Web of Science ®Google Scholar
• R. C. Aziz, I. Hashim and A. K. Alomari, “Flow and heat transfer in a liquid film over a permeable stretching sheet,” J. Appl. Math., vol. 2013, pp. 1–9, 2013. DOI: 10.1155/2013/487586.
   Google Scholar
• A. Hunegnaw and N. Kishan, “Unsteady MHD heat and mass transfer flow over stretching sheet in porous medium with variable properties considering viscous dissipation and chemical reaction,” ACSJ, vol. 4, no. 6, pp. 901–917, 2014. DOI: 10.9734/ACSJ/2014/11972.
   Google Scholar
• F. Mabood, S. M. Ibrahim, M. M. Rashidi, M. S. Shadloo and G. Lorenzini, “Non-uniform heat source/sink and Soret effects on MHD nonDarcian convective flow past a stretching sheet in a micropolar fluid with radiation,” Int. J. Heat Mass Transf., vol. 93, pp. 674–682, 2016. DOI: 10.1016/j.ijheatmasstransfer.2015.10.014.
   Web of Science ®Google Scholar
• K. Singh, P. Singh and M. Kumar, ” “Impact of Ohmic heating and nonlinear radiation on Darcy-Forchheimer magnetohydrodynamics flow of waterbased nanotubes of carbon due to nonuniform heat source,” in Advanced Materials-Based Fluids for Thermal Systems, Chapter-6, pp. 135–168, 2024, Elsevier Inc. .
   Google Scholar
• V. Singh, “Estimation of error in Runge-Kutta Fehlberg’s method,” J. Emerg. Technol. Innov. Res. (JETIR), vol. 5, no. 7, pp. 13851391, 2018.
   Google Scholar