How to Cite: Sundar, P. V. P., Maybell, P. S., Kethsial, S. R., & Kumar, G. V. (2022). Mathematical modeling of free convective MHD flow of temperature and heap transfer effects on caisson fluid over an oscillatory vertical plate. International Journal of Health Sciences, 6(S2), 5328–5338. https://doi.org/10.53730/ijhs.v6nS2.6342 International Journal of Health Sciences ISSN 2550-6978 E-ISSN 2550-696X © 2022. Manuscript submitted: 27 Feb 2022, Manuscript revised: 18 March 2022, Accepted for publication: 09 April 2022 5328 Mathematical modeling of free convective MHD flow of temperature and heap transfer effects on caisson fluid over an oscillatory vertical plate Dr. P. V. Praveen Sundar Assistant Professor. Adhiparasakthi College Of Arts & Science (Autonomous)., Kalavai P. Sheeba Maybell Assistant Professor. Nehru Arts and Science College S. Ruth Kethsial Assistant Professor. Nehru Arts and Science College Dr. G Vinod Kumar IQAC Coordinator. CSSR and SRRM Degree and PG College Abstract---In general, some static analysis of the predictable flow of the compressible and caisson fluid of some infinite vertical plates is determined by taking into account its varying mass or constant fluid flow and the uniform increase of the partition temperature. Differential equations can be predicted using different components of the Laplace transformation technique. Usually, two different solutions are available when the fluid flows in a particular direction. In this paper, an improved method for calculating the velocity of different fluids is proposed. Its possibilities are designed to calculate the different types of events that take place near the high temperature plates of the liquid. The results are compared with the flow along the plates at a near constant temperature. Keywords---predictable flow, caisson fluid, infinite vertical plates, constant fluid flow, partition temperature, laplace transformation. Introduction The various properties in the engine used in modern times are described through more complex systems. The more improved scientific methods to explain more. If