Exact solution of channelized flow of MHD Maxwell fluid with suction/injection

This study examines the MHD channelized flow of Maxwell fluid with suction/injection at the boundaries to control fluid velocity and boundary layer development. The governing equations, accounting for momentum, energy, heat generation, and chemical reactions, are analytically solved using the Laplace transform. Explicit solutions for velocity, temperature, and concentration fields are derived in exponential form and further expressed using summation notation for efficient inversion. Graphical analysis reveals that suction reduces velocity, while injection enhances it, significantly improving the heat transfer process. The findings highlight the critical role of suction/injection in optimizing heat and mass transfer, offering valuable insights for engineering applications.