Time-dependent viscous flow of higher-order reactive MHD Maxwell nanofluid with Joule heating in a porous regime

One of the most significant techniques of heat exchange in manufacturing appliances is convective heat transfer which can be enhanced by porous media and magnetic fields in various applications such as improving dramatically the different thermal equipment performance. This study investigates magnetohydrodynamic Maxwell nanofluid saturated in a porous medium towards convectively heated extending cylinder with higher-order chemical reactions. The ordinary differential equations resolved by using the optimal homotopy analysis method. The impact of various relevant factors on the schemes of velocity, energy, and concentration is drawn via diagrams and discussed physically through graphs, and discussions. The correlation between current and previously published findings is noted for accuracy. It is found that the heat transfer enhances when the Biot number and order of chemical reaction increase. When, the parameter of reaction, magnetic field, permeability and Eckert number increase, the heat transfer diminishes. The rising values of Joule heating, chemical reaction and Biot number rises the mass transfer, but in the opposite direction the mass transfer is reduced as the magnetic parameter, permeability and the order of chemical reaction grow. This study will be helpful in studying the movement of water or oil and gas through the cylindrical tanks.