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The nanofluid flow between two plates is a common topic of research. However, studies dealing with the flow between two vertical plates moving in different directions have not been largely accounted for. The main aim of this study is to analytically and statistically investigate the MHD flow of water‐based nanofluid between two vertical porous plates moving in opposite directions using perturbation technique and multiple linear regression, respectively. The consequence of various parameters on concentration, temperature, and velocity are examined via graphs using MATLAB software. It is observed that the main flow velocity profile is greater when the magnetic field is applied on the upward moving plate as compared to the main flow velocity when the magnetic field is applied on the downward‐moving plate. The physical quantities are scrutinized using statistical tools like probable error and multiple linear regression and an excellent agreement is noted. It is noted that the Nusselt number is highly positively correlated with the injection parameter and highly negatively correlated with nanoparticle volume fraction. Furthermore, the simultaneous effects of parameters on drag coefficients are studied with the aid of three‐dimensional surface plots.

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The current work presents the convective Carreau nanoliquid flow along an elongating cylinder in the presence of magnetic field and slip constraints. Thermal radiation, viscous dissipation, and Joule heating effects are also considered. The modeled partial differential equations (PDEs) are solved utilizing BVP5C (MATLAB built‐in function) and appropriate similarity transformations. It is noted that the velocity and temperature are inversely proportional and directly proportional to the Hartmann number, respectively. Consequences of various parameters on Sherwood number, Nusselt number, and drag coefficient are analyzed employing tables and graphs. It is noted that the Eckert number demotes heat transfer rate. Verification of the MATLAB code is guaranteed through a reduced study with previously published papers and a good agreement is observed. The simultaneous impact of parameters on the Sherwood number is analyzed using two‐dimensional plots. The influence of parameters on heat transfer rate and drag coefficient are further scrutinized using statistical techniques like correlation and regression.

The hydromagnetic convective flow between two parallel plates has been analyzed frequently. However, only a countable number of studies are accounted for the flow between parallel plates