Abstract A more thorough and accurate method for simulating heat and mass transfer is offered by the Cattaneo–Christov (C–C) double diffusion models, particularly in systems where rapid transient processes, material memory, or relaxation effects are important. This paper examines the impacts of Cattaneo–Christov double diffusion models on the energy transport of Casson fluid flow over a stretchable and rotating horizontal cylinder. These models, which connect the effects of thermal and solutal relaxation time features in energy and concentration equations, are modified versions of the classical Fourier's law of heat conduction and Fick's law of diffusion. For controlling the system's movement, a vertically upward‐directed magnetic field beam is projected. The energy transport analysis includes the influence of convective conditions and velocity slip at the cylinder's interface. By implementing the necessary similarity variables, the resulting partial differential equations (PDEs) are converted into a set of ordinary differential equations (ODEs). The bvp4c technique in MATLAB is used to numerically integrate the model's nonlinear problem. On the momentum, thermal, and solutal distributions, the effects of several thermophysical variables are illustrated graphically and quantitatively explained. Elevated values of the Casson parameter suppress the radial and swirl flows and enhance the thermal profile. The thermal relaxation time parameter makes it necessary for the particles to take extra time to conduct heat to nearby particles, which reduces thermal transport.
Nazir et al. (Sun,) studied this question.