▎ 摘　　要

The heat transport mechanism has an engrossing application in effective heat management for the automobile industry and the biomedical industry. The analysis of the MHD graphene-carboxymethyl cellulose (CMC) solution-water nanofluid past a stretchable wall with Joule heating and velocity slip impact is performed in this regard. A graphene-based nanofluid is considered. The dynamic model is used to simplify the complicated ordinary differential equations into non-dimensional forms, which are then evaluated analytically. Numerical data and graphs are produced to analyze the consequences of a physical entity with the aid of Maple 17. Moreover, the velocity field is decreased, while the magnitude of the magnetic parameter is increased. A decrease in theta(eta) is observed as a result of an increase in phi. It is noted that a rise in the magnetic parameter causes a fall in the temperature distribution. It is perceived that -f & PRIME;& PRIME;(0) is decreased with an augmentation in beta(s ), and an opposite trend is shown for phi. The velocity profile is the growing function of M-gn , beta(s ), and K-ve , with the reversed mode shown in case of phi. The temperature profile is the declining function of Pr, E-crt , phi, and chi, with a contradictory trend observed for M-gn and beta(s ). The flow regime is displayed against the viscoelastic parameter.