Prof. Lokendra Kumar is actively involved in research in the field of Computational Fluid Dynamics and Numerical Analysis. His research is a combination of mathematics with real-world fluid mechanics problems, especially those involving complex and non-Newtonian fluids.
Since the governing ordinary or partial differential equations are highly nonlinear and often cannot be solved analytically therefore Prof. Kumar has employed a wide range of numerical techniques such as the finite element method, finite difference method, Quasilinearization method, shooting method, and meshfree methods to obtain numerical solutions.
His work frequently addresses magnetohydrodynamic flows, micropolar fluid behavior, and heat and mass transfer in nanofluids under various boundary conditions. By incorporating physical effects like thermal radiation, chemical reactions, and slip conditions, he has developed models that are not only mathematically effective but also highly applicable to engineering and industrial processes. His research continues to bridge the gap between theoretical fluid dynamics and practical applications, contributing to advancements in energy systems, biomedical flows, and environmental modeling.