Abstract
Abstract
Substantive applications of stratified flows have been observed in various industrial operating systems. Stratified flows driven by gravity differences possess pervasive significance in the performance of nuclear reactors along with the management of safety problems due to pressurized thermal shock and induced water condensation. In addition, thermos-gravitational stratified regimes also play an exclusive role in multiphase processes in diversified engineering disciplines. Therefore, this artifact investigates the thermal and solutally stratified Prandtl fluid flow over an inclined extendable surface with magnetic field aspects. Convective boundary constraints are prescribed at the surface of the sheet and chemical reaction of first-order is also accounted. Firstly, problem formulation is conceded in the form of PDEs which are later transformed into ODEs by employing a similar set of variables. Then these ODEs are solved by employing the shooting method in collaboration with the Runge–Kutta scheme. A comparison of results in a restrictive sense with outcomes attained from an analytical approach to analyze the robustness and accuracy of currently employed schemes is also executed. The results expressing the behavior of the involved parameters on flow distributions are revealed in graphical and tabular formats. It is revealed that the heat and mass flux coefficients increase by up to 41% and 22%, respectively, in the presence of stratification in comparison to the situation when it is absent. The velocity of the fluid is accelerated by uplifting the angle of inclination and buoyancy ratio parameters. By increasing the magnitude of the model flow parameters, the fluid velocity increased. The Prandtl number tends to reduce the temperature and elevate the heat-flux coefficient. The velocity distribution showed a positive trend with the change in the angle of inclination.
Subject
Condensed Matter Physics,Mathematical Physics,Atomic and Molecular Physics, and Optics