The current study investigates the impact of thermal radiation in a scenario without magnetohydrodynamics (MHD) on a swaying current, while an extremely uniform vertical plate with an attached pile transmission has been considered in the examination. Although calculations were made, the precise nature of this impact remains uncertain. Both the plate temperature and the nearby concentration level increased evenly and consistently. The Laplace transform was employed to derive the dimensionless form. Various physical attributes, such as the thermal Franz Grashof number, mass Franz Grashof number, radiation parameter, Schmidt number, and the Ludwig Prandtl number, were considered. These attributes account for the effects of quickness, thermal state, and the number of species dissolved in the fluid. The profiles are graphically illustrated. An increment in the thermal (or mass) Grashof number leads to higher quickness values. Concerning the thermal luminosity attributes, there is an observed inversion in the trend.

thermal radiation, rotational dynamics, magnetohydrodynamics.

Received: July 10, 2024; Accepted: September 2, 2024; Published: October 3, 2024

How to cite this article: Dilip Jose Sebastian, Mercy Priya Veeramani, Buvaneswari Shanmugam, Selvaraj Kandhasamy, Balakumar Rajakrishnan, Selvaraj Ayothi and Lakshmikaanth Devi, Unraveling the complexities of thermal radiation and rotational dynamics in parabolic flow: a perspective, JP Journal of Heat and Mass Transfer 37(5) (2024), 617-639. https://doi.org/10.17654/0973576324040

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References:
[1] R. Muthucumaraswamy, K. E. Sathappan and R. Natarajan, Heat and mass transfer effects on exponentially accelerated vertical plate with uniform magnetic field, Journal of Engineering Annals of Faculty of Engineering Hunedoara Tome VI (2008). https://annals.fih.upt.ro/pdf-full/2008/ANNALS-2008-3-33.pdf.
[2] K. E. Sathappan and R. Muthucumaraswamy, Radiation effects on exponentially accelerated vertical plate with uniform mass diffusion, International Journal of Automotive and Mechanical Engineering 3 (2011), 341-349.
https://doi.org/10.15282/ijame.3.2011.9.0028.
[3] P. Sivakumar and R. Muthucumaraswamy, First order chemical reaction on parabolic flow past an infinite vertical plate with variable temperature and mass diffusion in the presence of external magnetic field and thermal radiation, International Journal for Innovation and Scientific Research, Parabolic 25 (2016), 466-477. https://doi.org/10.1515/ijame-2016-0006.
[4] V. Lakshmi and R. Muthucumaraswamy, Hall effects and magnetic field effects on flow past a parabolic accelerated isothermal vertical plate with uniform mass diffusion in the presence of thermal radiation, International Journal of Multidisciplinary Research and Development 3 (2016), 232-241.
https://doi.org/10.17654/aafmjul2015_051_065.
[5] R. Muthucumaraswamy and A. Vijayalakshmi, Heat transfer by radiation and MHD flow over a moving vertical plate with variable mass diffusion, International Journal of Applied Mathematics and Physics 2 (2010), 39-44.
https://doi.org/10.1007/s10891-005-0067-9.
[6] R. Muthucumaraswamy and Janakiraman, MHD and Radiation effects on moving isothermal vertical plate with variable mass diffusion, Theoret. Appl. Mech. 33(1) (2006), 17-29. https://doi.org/10.2298/tam0601017m.
[7] R. Muthucumaraswamy, P. Ganesan and V. M. Soundalgekar, Theoretical solution of flow past an impulsively started vertical plate with variable temperature and mass diffusion, Forschung in Ingenieurwesen 66 (2000), 147-151. https://doi.org/10.1007/s100100000051.
[8] G. S. Sethu, R. Nandkeolyar and Mds. Ansari, Effects of thermal radiation and rotation on unsteady hydro magnetic free convection flow past an impulsively moving vertical plate with ramped temperature in a porous medium, Journal on Applied Fluid Mechanics 6 (2013), 27-38.
https://doi.org/10.36884/jafm.6.01.19478.
[9] M. A. A. Mahmoud, Thermal radiation effect on unsteady MHD free convection flow past on a vertical plate with temperature dependent viscosity, Can Journal of Chemical Engineering 87 (2009), 47-52. https://doi.org/10.1002/cjce.20135.
[10] R. Muthucumaraswamy, M. S. Raj and V. S. A. Subramanian, Unsteady flow past an accelerated infinite vertical plate with variable temperature and uniform mass diffusion, International Journal of Applied Mathematics and Mechanics 5(6) (2009), 51-56. https://doi.org/10.1002/cjce.20135.
[11] K. V. S. Raju, T. Sudhakar Reddy, M. C. Raju and S. Venkataraman, Free convective heat and mass transfer transient flow past an exponentially accelerated vertical plate with Newtonian heating in the presence of radiation, International Journal of Mathematics and Computer Applications Research 3(2) (2013), 215-226. https://doi.org/10.15373/22778179/feb2013/87.
[12] S. Mohana Murali and A. R. Vijayalakshmi, Effects of thermal radiation on a linearly accelerated vertical plate with variable mass diffusion and uniform temperature distribution in a rotating medium, International Journal of Computer Science and Engineering 6(2) (2018), 563-569.
https://doi.org/10.26438/ijcse/v6i12.563569.
[13] G. Manjula, Radiation effects on MHD flow past an exponentially accelerated infinite isothermal vertical plate with variable temperature, International Journal of Engineering Research and Technology 5(1) (2016), 556-560.
https://doi.org/10.17577/ijertv5is010439.
[14] G. S. Sethu, S. M. Hussain and S. Sarkar, Effects of Hall current and rotation on unsteady MHD natural convection flow with heat and mass transfer past an impulsively moving vertical plate in the presence of radiation and chemical reaction, Bulgarian Chemical Communication 46(4) (2014), 704-718.
https://doi.org/10.1016/j.asej.2013.09.014.
[15] Kamalesh Kumar Pandit, Sinam Iboton Singh and Dipat Sarma, Heat and mass transfer analysis of an unsteady MHD flow past an impulsively started vertical plate in presence of thermal radiation, International Journal of Fluid Mechanic and Thermal Sciences 4(2) (2018), 18-16.
https://doi.org/10.11648/j.ijfmts.20180402.11.
[16] S. Dilip Jose and A. Selvaraj, Effects of parabolic flow past an accelerated isothermal vertical plate with heat and mass diffusion in the presence of rotation, Int. J. Aquatic Science 12(3) (2021), 256-263.
https://doi.org/10.17654/hm024010191.
[17] S. Dilip Jose and A. Selvaraj, Convective heat and mass transfer effects of rotation on parabolic flow past an accelerated isothermal vertical plate in the presence of chemical reaction of first order, JP Journal of Heat and Mass Transfer 24(1) (2021), 191-206. https://doi.org/10.17654/HM024010191.
[18] A. Selvaraj, S. Dilip Jose, R. Muthucumaraswamy and S. Karthikeyan, MHD parabolic flow past an accelerated isothermal vertical plate with heat and mass diffusion in the presence of rotation, Materials Today: Proceedings 46(9) (2021), 3546-3549. https://doi.org/10.1016/j.matpr.2020.12.499.
[19] A. Sindhu, A. Selvaraj and S. Dilip Jose, Analysis on rotational impacts of parabolic flow past an accelerated isothermal vertical plate with variable temperature and uniform mass diffusion, Advances and Applications in Mathematical Sciences 21(11) (2022), 6373-6384.
https://doi.org/10.1007/978-981-33-4389-4_38.
[20] D. Maran, A. Selvaraj, M. Usha and S. Dilip Jose, First order chemical response impact of MHD flow past an infinite vertical plate with in the sight of exponentially with variable mass diffusion and thermal radiation, Materials 46(9) (2021), 3302-3307. https://doi.org/10.1016/j.matpr.2020.11.464.
[21] E. Jothi, A. Selvaraj, S. Dilip Jose, A. Neel Armstrong and S. Karthikeyan, Effect of MHD and radiation absorption fluid flow past an exponentially accelerated vertical plate with variable temperature and concentration, S. L. Peng, R. X. Hao and S. Pal, eds., Proceedings of first international conference on mathematical Modelling and Computational Science, Advances in Intelligent Systems and Computing 1292 (2021), 429-439.
https://doi.org/10.1007/978-981-33-4389-4_39.
[22] S. Dilip Jose, A. Selvaraj, R. Muthucumaraswamy, S. Karthikeyan and E. Jothi, MHD-parabolic flow past an accelerated isothermal vertical plate with variable temperature and uniform mass diffusion in the presence of rotation, S. L. Peng, R. X. Hao and S. Pal, eds., Proceedings of First International Conference on Mathematical Modelling and Computational Science, Advances in Intelligent Systems and Computing 1292 (2021), 417-428.
https://doi.org/10.1007/978-981-33-4389-4_38.
[23] R. Muthucumaraswamy and P. Ganesan, Natural convection on moving isothermal vertical plate with the chemical reaction, Journal of Engineering Physics and Thermophysics 75 (2002), 8690.
https://doi.org/10.1016/s1290-0729(02)01340-6.
[24] D. J. Samuel, Chemical reaction and melting heat effects on MHD free convective radiative fluid flow past a continuous moving plate in the presence of thermophysical parameters, Defect and Diffusion Forum 384 (2018)-80-98.
https://doi.org/10.4028/www.scientific.net/ddf.384.80.
[25] R. B. Hetnarski, An algorithm for generating some inverse Laplace transform of exponential form, ZAMP 26 (1995), 249-253.
https://doi.org/10.1007/bf01591514.
[26] J. Samuel, K. S. Adegbie and A. J. Omowaye, Significance of nonuniform heat generation and convective boundary conditions in heat and mass transfer flow of Jeffrey fluid in the presence of Arrhenius activation energy and binary reaction, Eur. Phys. J. Spec. Top. 232 (2023), 877-891.
https://doi.org/10.1140/epjs/s11734-022-00665-9.
[27] R. K. Deka and B. C. Neog, Unsteady MHD flow past a vertical oscillating plate with thermal radiation and variable mass diffusion, Chamchuri Journal of Mathematics 1(2) (2009), 79-92. https://doi.org/10.1115/imece2012-85961.
[28] M. Muralidharan and R. Muthucumarasamy, MHD and radiative flow past an accelerated vertical plate variable temperature and uniform mass diffusion, International Journal of Applied Physics and Mathematics 2 (2012), 266-269.
https://doi.org/10.7763/ijapm.2012.v2.108.
[29] K. S. Adegbie, D. J. Samuel and B. O. Ajayi, Ohmic heating of magnetohydrodynamic viscous flow over a continuous moving plate with viscous dissipation buoyancy and thermal radiation, Defect and Diffusion Forum 392 (2019), 73-91. https://doi.org/10.4028/www.scientific.net/ddf.392.73.
[30] D. J. Samuel and I. A. Fayemi, Variable viscosity and chemical reaction effects on MHD flow of radiative fluid past a stretching sheet in the presence of Joule heating, Asian Research Journal of Mathematics 17(12) (2021), 28-42. https://doi.org/10.9734/arjom/2021/v17i1230346.