Cattaneo-Christov flow analysis of unsteady couple stress fluid with variable fluid properties: By using Adam’s method

Abstract

This work investigates the transference of mass and heat rate with the Cattaneo-Christov model for the 2-D magnetohydrodynamic couple stress fluid flowing in a sensory surface. The considered fluid flowing on the microcantilever sensor surface squeezed at free stream which can perceive the motion of fluid and the variance in temperature and concentration rates. The physical nature of fluid in this study is investigated by using the variable fluid properties. The study of couple stress fluid flowing in the context of squeezing surface is important due to their unique rheological properties. The understanding of these types of flow behavior enables engineers and scientists to design efficient processes, improve lubrication, enhance coating techniques, optimize material transport and avoid instabilities associated with complex fluid flow. The governing PDEs equations are attained by adapting the considered assumptions, and then the PDEs are altered into the form of ODEs via similarity transformations. The numerical solutions are achieved by taking Adams-Bashforth (Predictor-Corrector) technique along with RK-4 method. The declining behavior of velocity is inspected for inputs of permeable velocity, couple stress parameter and squeezing flow index. The transport of mass and heat drops due to thermal relaxation coefficients.