Heat transfer analysis for the Cattaneo–Cristov heat flux model using integral transform technique with isothermal and isoflux wall conditions

Abstract The present theoretical analysis elaborates on the thermal entrance problem using the Cattaneo–Cristov heat flux model. The modified heat equation for the Cattaneo–Cristov model is solved via an integral transform technique. The entering fluid has a uniform velocity and constant physical characteristics. Temperature jump boundary conditions and axial conduction are also considered. A hybrid scheme is utilized to achieve the solution of the modified heat equation with the aid of Mathematica 13 platform. The results of bulk temperature, local, and mean Nussetle number are plotted for different embedded parameters. Applications for this type of study include heat exchangers, plug flow reactors, low Prandtl number liquid flows, and duct-flowing liquid metals with low Reynolds numbers.