We examine the collective impact of Hall current and radiation-enhanced thermal sources on the laminar flow of a first-order fluid. The fluid under investigation is incompressible, and the analysis pertains to the heat transfer and accumulation dynamics when this fluid flows over a uniformly heated vertical plate, which is in motion at an elevated speed with rotational motion and the inclusion of the Dufour (Df) effect. We applied the Laplace method to derive  solutions for the pertinent mathematical expressions. Subsequent to the investigation, measurable data was obtained by analyzing the accelerated flow, taking into account specific parameters such as Prandtl, Schmidt, thermal, and accumulation Grashof values. According to the findings, speed rises with higher values of heat source, Hall current and Grashof parameters, but drops as radiation levels rise. Temperature similarly rises with a higher heat source and drops with increased radiation levels. Furthermore, with a rise in the chemical reaction rate, the concentration drops.

Laplace, parabolic flow, rotational flow, hall current, heat source.

Received: May 21, 2024; Revised: June 29, 2024; Accepted: July 15, 2024; Published: August 5, 2024

How to cite this article: D. Lakshmikaanth, A. Selvaraj, L. Tamilselvi, S. Dilip Jose and V. Velukumar, Hall and heat source effects of flow state on a vertically accelerating plate in an isothermal environment, including chemical reactions, rotation, radiation, and the Dufour effect, JP Journal of Heat and Mass Transfer 37(4) (2024), 491-520. https://doi.org/10.17654/0973576324034

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

References:
[1] A. Selvaraj and E. Jothi, Heat source impact on MHD and radiation absorption fluid flow past an exponentially accelerate vertical plate with exponentially variable temperature and mass diffusion through a porous medium, Materials Today Proceedings 46 (2021), 3490-3494.
https://doi:10.1016/j.matpr.2020.11.919.
[2] S. Kavitha, A. Selvaraj, S. Senthamilselvi and P. Rajesh, A parabolic flow with MHD, The Dufour and rotational effects of uniform temperature and mass diffusion through an accelerating vertical plate in the presence of chemical reaction, Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 110(2) (2023), 192-205. https://doi/10.37934/arfmts.110.2.192205.
[3] A. Neel Armstrong, N. Dhanasekar, A. Selvaraj, R. Shanmugapriya, P. K. Hemalatha and J. N. Kumar, Rotational effect of parabolic flow past in a vertical plate through porous medium with variable temperature and uniform mass diffusion, AIP Conf. Proc. 2821(1) (2023), 80016-80017.
https://doi:10.1063/5.0158630.
[4] D. Lakshmikaanth, A. Selvaraj and A. Armstrong, Heat source effects of flow past a parabolic accelerated isothermal vertical plate in the presence of Hall current, chemical reaction, rotation and radiation, Eur. Chem. Bull. 12(4) (2023), 3354-3374. https://doi:10.48047/ecb/2023.12.4.226.
[5] D. Lakshmikaanth, A. Selvaraj, P. Selvaraju and S. D. Jose, Hall and heat source effects of flow past a parabolic accelerated isothermal vertical plate in the presence of chemical reaction and radiation, JP Journal of Heat and Mass Transfer 34 (2023), 105-126. https://doi.org/10.17654/0973576323035.
[6] B. P. Reddy and J. A. Rao, Radiation and thermal diffusion effects on an unsteady MHD free convection mass-transfer flow past an infinite vertical porous plate with the hall current and a heat source, J. Eng. Phys. Thermophys. 84(6) (2011), 1369-1378.
[7] L. Velu and M. Rajamanickam, 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.
DOI: 10.13140/RG.2.2.10285.54245.
[8] R. Muthucumaraswamy and K. Muthuracku Alias, Hall effects on MHD flow past an exponentially accelerated isothermal vertical plate with variable mass diffusion in the presence of rotating fluid, ANNALS of Faculty Engineering Hunedoara - International Journal of Engineering 13 (2015), 229-236.
https://doi10.13140/RG.2.2.33144.49927.
[9] M. Thamizhsudar, R. Muthucumaraswamy and A. Bhuvaneswari, Heat and mass transfer effects on MHD flow past an exponentially accelerated vertical plate in the presence of rotation and hall current, J. Adv. Research in Dynamical and Control Systems 9(2) (2017), 73-82.
[10] P. V. Satya Narayana, B. Venkateswarlu and S. Venkataramana, Effects of Hall current and radiation absorption on MHD micropolar fluid in a rotating system, Ain Shams Engineering Journal 4(4) (2013), 843-854.
https://doi.10.1016/j.asej.2013.02.002.
[11] V. Prasada, B. Vasua and O. A. Bég, Thermo-diffusion and diffusion-thermo effects on MHD free convection flow past a vertical porous plate embedded in a non-Darcian porous medium, Chemical Engineering Journal 173 (2011), 598-606. https://doi.10.1016/j.cej.2011.08.009.
[12] Z. Dursunkaya and W. M. Worek, Diffusion-thermo and thermal-diffusion effects in transient and steady natural convection from a vertical surface, International Journal of Heat and Mass Transfer 35(8) (1992), 2060-2065.
https://doi.10.1016/0017-9310(92)90208-a.
[13] M. A. Seddeek, Thermal-diffusion and diffusion-thermo effects on mixed free-forced convective flow and mass transfer over an accelerating surface with a heat source in the presence of suction and blowing in the case of variable viscosity, Acta Mechanica 172(1-2) (2004), 83-94. https://doi.10.1007/s00707-004-0139-5.
[14] C. R. A. Abreu, M. F. Alfradique and A. S. Telles, Boundary layer flows with Dufour and Soret effects: I: forced and natural convection, Chemical Engineering Science 61(13) (2006), 4282-4289. https://doi.10.1016/j.ces.2005.10.030.
[15] O. A. Bég, T. A. Bég, A. Y. Bakier and V. R. Prasad, Chemically-reacting mixed convective heat and mass transfer along inclined and vertical plates with Soret (Sr) and Dufour (Df) effects: numerical solutions, International Journal of Applied Mathematics and Mechanics 5(2) (2009), 39-57.
[16] B. R. Rout and H. B. Pattanayak, Chemical reaction and radiation effects on MHD flow past an exponentially accelerated vertical plate in presence of heat source with variable temperature embedded in a porous medium, Annals of Faculty Engineering Hunedoara - International Journal of Engineering 4 (2013), 253-259.
[17] K. Srihari, Effects of Soret, Dufour and radiation on MHD flow of a dissipative fluid past a porous plate with chemical reaction and heat source, Journal of Applied Physical Science International 10(2) (2018), 47-64.
[18] N. Pandya, R. K. Yadav and A. K. Shukla, Combined effects of Soret (Sr)-Dufour (Df), radiation and chemical reaction on unsteady MHD flow of dusty fluid over inclined porous plate embedded in porous medium, International Journal of Advances in Applied Mathematics and Mechanics 5 (2017), 49-58.
[19] Nidhi Pandya and Ashish Shukla, Effects of thermophoresis, Dufour, Hall and radiation on an unsteady MHD flow past an inclined plate with viscous dissipation, chemical reaction and heat absorption and generation, Journal of Applied Fluid Mechanics 9(1) (2016), 475-85.
https://doi.10.18869/acadpub.jafm.68.224.23649.
[20] U. S. Rajput and N. Kanaujia, MHD flow past a vertical plate with variable temperature and mass diffusion in the presence of Hall current, International Journal of Applied Science and Engineering 14(2) (2016), 115-123.
[21] U. S. Rajput and G. Kumar, Radiation effect on unsteady MHD flow through porous medium past an oscillating inclined plate with variable temperature and mass diffusion in the presence of hall current, Malaysian Journal of Fundamental and Applied Sciences 12(2) (2016), 68-76. https://doi.10.11113/mjfas.v12n2.445.
[22] G. Kumar, Heat absorption and hall current effects on unsteady MHD flow past an inclined plate, Studia Universitatis Babeș-Bolyai Engineering 65(1) (2020), 79-95. https://doi.10.24193/subbeng.2020.1.9.
[23] P. B. A. Reddy, N. Bhaskar Reddy and S. Suneetha, Radiation effects on MHD flow past an exponentially accelerated isothermal vertical plate with uniform mass diffusion in the presence of heat source, Journal of Applied Fluid Mechanics 5(3) (2012), 119-126. https://doi.10.36884/jafm.5.03.19454.
[24] M. Anil Kumar, Y. Dharmendar Reddy, B. Shankar Goud and V. Srinivasa Rao, Effects of Soret (Sr), Dufour (Df), hall current and rotation on MHD natural convective heat and mass transfer flow past an accelerated vertical plate through a porous medium, International Journal of Thermofluids 9 (2021), 1-9.
https://doi.10.1016/j.ijft.2020.100061.
[25] R. B. Hetnarski, On inverting the Laplace transforms connected with the error function, Appl. Math. 7(4) (1964), 399-405. https://doi:10.4064/am-7-4-399-405.
[26] R. B. Hetnarski, An algorithm for generating some inverse Laplace transform of exponential form, ZAMP 26 (1975), 249-253.
https://doi.org/10.1007/bf01591514.