Mathematical Modelling of Non-Newtonian Flow of Mandarin Juice Over a Moving Permeable Sheet with Slip and Heat Generation

Author(s)	Dr. Ruhul Kuddus Ahmed
Country	India
Abstract	The non-Newtonian flow of mandarin juice over a moving permeable sheet with slip condition and heat generation is investigated. The shear-thinning nature of mandarin juice under certain prescribed conditions is mathematically studied with the help of the Power-Law fluid model. The fluid flow motion of mandarin juice is governed by a set of partial differential equations along with relevant boundary conditions. The appropriate similarity variables are utilized to obtain the resulting governing equations. The graphical representation of velocity and temperature profiles are obtained by solving the governing equations by employing finite difference method-based MATLAB solver 'bvp4c'. The impact of velocity slip parameter, heat generation or absorption parameter, non-Newtonian flow index, and Eckert number are analyzed from graphs, and conclusions are drawn from a physical viewpoint. The local values of skin friction and Nusselt number are also tabulated to notice the effects of involved flow parameters.
Keywords	Mandarin Juice, Power-law fluid, Slip velocity, Heat generation, Eckert number.
Field	Mathematics
Published In	Volume 8, Issue 3, May-June 2026
Published On	2026-05-14
DOI	https://doi.org/10.36948/ijfmr.2026.v08i03.78498

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