An Analytical Inspection on Effect of Chemical Reaction and Radiation on MHD Biviscous Bingham Tetra Nanofluid Flow With Accelerated Plate

The nanofluids and their advanced models (ternary and tetra nanofluids) possess an outstanding thermal mechanism and attract engineers and industrialists with their prominent features. Tetra nanofluids have high thermal conductivity; thus, by inserting nanoparticles in the base fluids, the effective thermal conductivity of heat transfer fluids is enhanced. A framework has now been illuminated throughout this work to scrutinize the behavior of chemical reactions and radiation on water‐based magnetohydrodynamics (MHD) biviscous Bingham flow of tetra nanofluid (Al 2 O 3 –Fe 3 O 4 –TiO 2 –Cu/H 2 O) over an accelerated plate through a porous medium in the presence of slip conditions, heat source/sink, and viscous dissipation. The overall physical problem is designed in the form of a nonlinear partial differential equation, which is then altered into a highly nonlinear ordinary differential equation via a proper dimensionless variable. These equations are solved analytically, along with the associated boundary conditions. The flow, energy, and mass problems were examined analytically, especially the heat transport phenomena performed for both prescribed surface temperature (PST) and prescribed heat flux (PHF) cases, and mass transfer was also evaluated in two different cases, namely prescribed surface concentration (PSC) and prescribed mass flux (PMF) cases, and then, these solutions were demonstrated in terms of the confluent hypergeometric function. There were plots showing how the different variables affected the velocity of flow, energy, concentration, skin friction, and rate of heat transmission. The dual solution is found for velocity, temperature, and concentration profiles. The finding discloses that the performance of the magnetic parameter, the biviscous Bingham fluid parameter, and the slip parameters experience a slowdown in the impact of their corresponding velocities in cases of stretching boundaries. For both boundary conditions, the magnitude of the magnetic field parameter increases with increasing temperature and the concentration profile in the second solution, whereas a reverse trend is observed in the first solution.