Heat Transmission of Star Fruit Juice Over a Permeable Moving Sheet With Slip Impact by Power Law Fluid Model: An Experimental to Numerical Approach on Rheology

ABSTRACT The star fruit ( Averrhoa carambola ) samples are collected randomly from the market of Rangiya, a major city of the Lower Assam division in the Kamrup region of Assam, India. The rheometer ARES‐G2 is used to collect experimental data on the juice's rheological flow characteristics at different temperatures. The curve tracing tool is then used to fit the data to the Power‐law fluid model. A mathematical analysis is conducted to interpret the influence of slip on the flow and heat transfer of star fruit juice past a moving permeable sheet. The resulting governing equations, along with relevant boundary conditions, are obtained utilizing appropriate similarity variables. The MATLAB programming code “bvp4c” is employed to compute the governing equations. With the aid of relevant flow parameters, the momentum and thermal profiles are plotted for discussion. Using graphical analysis, the impacts of the slip parameter, flow index, Eckert number, and heat generation or absorption parameter are investigated, and conclusions are made based on physical insights. To examine the impacts of the relevant flow parameters, the Nusselt number and local skin friction values are also tabulated. The study examines how rheological parameters influence the flow characteristics, which is helpful in designing and evaluating juice transportation systems.