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A recent challenging task in the field of nanotechnology is nanofluids, which are potential heat transfer fluids. Numerous researchers worked on nanofluid with different physical conditions. In this research work, we presented the three-dimensional flow of couple stress nanofluid with Hall current, viscous dissipation and Joule heating impacts past an exponentially stretching sheet. The Cattaneo–Christov heat flux model is implemented to examine the thermal relaxation properties. The modeled equations have been transformed to nonlinear ordinary differential equations with the help of correspondence transformations. The homotopy analysis method is used to solve the proposed model. The effect of dimensionless parameters, which are couple stress, Hartmann number, the ratio of rates, and Hall on velocity fields in <inline-formula> <tex-math notation="LaTeX">$x$ </tex-math></inline-formula>- and <inline-formula> <tex-math notation="LaTeX">$y$ </tex-math></inline-formula>-directions has been scrutinized. The rise in Hall parameter, Hartmann number, the ratio of rates parameter, and couple stress parameter are reducing the velocity function in the <inline-formula> <tex-math notation="LaTeX">$x$ </tex-math></inline-formula>-direction. The rise in Hall parameter, Hartmann number, and the ratio of rates parameter are improving the velocity function in the <inline-formula> <tex-math notation="LaTeX">$y$ </tex-math></inline-formula>-direction. The influence of Prandtl number, thermal relaxation time, and temperature exponent on temperature field are presented in this paper. The rise in thermal relaxation parameter, Prandtl number, and temperature exponent are reducing the temperature function. The influence of thermophoresis, the Schmidt number, and Brownian motion on concentration field are presented. The rise in thermophoresis parameter is increasing the concentration function while the rise in Brownian motion parameter and Schmidt number are reducing the concentration function. The impacts of implanted factors on skin friction, Nusselt number, and Sherwood number are accessible through tables. The determined result of skin friction is compared with the previous study.

Hall Effect on Couple Stress 3D Nanofluid Flow Over an Exponentially Stretched Surface With Cattaneo Christov Heat Flux Model