The consider work focuses on MHD rotating flow of Maxwell nanofluid affected by non-uniform heat source/sink and thermal radiation. The flow is induced by stretchable surface (linear/exponential) with the implementation of stratification boundary conditions on the surface. The thermal energy and mass concentration equations are discussed with the effect of variable thermal conductivity and variable chemical reaction. The flow model PDEs are converted into the system of nonlinear ODEs with the help of similarity transformation. These nonlinear coupled equations are computed numerically by the utilization of Bvp4c MATLAB technique. The noteworthy impact of different parameters is observed along the velocity, temperature, and concentration distribution. It is examined through graphical discussion that higher estimation of Deborah number and magnetic field parameter retard the fluid motion, as a result the velocity of fluid lower down. Further, higher estimation of rotation parameter causes to Coriolis force, which declines the fluid velocity. The transport of heat and mass for the higher estimation of Deborah number and rotation parameter is reduced consequently. The comparison of current computations is down with the pervious published article, which result shows good agreement.

The heat and mass transfer investigation of the boundary layer flow of chemically reactive Casson nanoparticles (Ag and MgO) is done by the existence of magnetic dipole and gyrotactic microorganism through a stretching cylinder. The generalized Fourier and Fick law and the thermal radiation effect are taken into account to analyze energy transportation. The stratification conditions are executed on the boundary of the surface of the stretching cylinder. The main idea behind this investigation is to empower the heat transport phenomenon and thermal conductivity of fluid by the inclusion of nanoparticles into the base fluid. The flow equations (PDEs) are changed into nonlinear coupled ODEs by the usage of suitable transformations. The solution of transferred coupled equations is established by the succor of the Bvp4c MATLAB approach. The emerging parameter results are obtained graphically along the velocity, concentration, temperature, and microorganism density profile. The microorganism transport rate and the skin friction coefficient rate are analyzed with the help of tabulated data. It is worth interesting to see that due to the enlargement of $\alpha$ (curvature parameter), the velocity of the fluid is boosted, although the decreasing trend is seen in the velocity of fluid by the stronger estimation of slip and magnetic parameters.

In the present article, we analyzed the unsteady bio-convective hybridized micropolar nanofluid flow over vertical exponentially stretching surface under the stratification conditions. Hybrid nanoparticles (AA7075 + AA7072 alloys) with a base fluid of water are deliberated in the current study. The Cattaneo–Christov heat flux and activation energy is taken into account to examine the heat and mass transfer rate. The appropriate transformations are used to transfer the flow model into the coupled non—linear ODEs. The Bvp4c Matlab technique is used to solve the coupled equations. The conclusion of various parameters is examined graphically. The physical quantities like skin friction, local Sherwood number and local microorganisms number observed via graphs. It is worth noticing that the axial and angular velocity reduces near the boundary and enhances away from the boundary with the escalation of solid volume fraction single and multi wall carbon nanotubes. Further, the skin factor, Sherwood number, and microorganism number show increasing behavior as increasing stretching parameter and solid volume fraction.

The current study explored the bio-convective stagnation point flow of hybrid nanofluid with Cattaneo–Christove theory, viscous dissipation, and activation energy. The stratification and Thomson and Troian slip condition are applied on the boundary of a permeable vertical cylinder. The central idea of the present study is to boosting the thermal conductivity of fluid by immersed the nanoparticles (SWCNT, MWCNT) in the base liquid (Engine oil). The mathematical model is converted into the system of coupled nonlinear differential equations (PDEs). These coupled equations are manipulated with the help of a Bvp4c Matlab technique. The graphical illustration is presented via various emerging parameters. It is worth noticing that the porosity and velocity slip parameter lessen the velocity profile. Moreover, the comparison between simple and hybrid nanofluid is done by the tabulated date. It is showed that heat and mass transfer rate improved with the addition of hybrid nanofluid.

The objective of the present research is to study the effects of variable thermal conductivity on the three-dimensional steady flow of Maxwell nanofluid in the presence of heat generation/absorption and double stratification. The theory of Cattaneo-Christov is used instead of the law of Fourier because the law of Fourier has parabolic equations and move at infinite speed in space. By using adequate transformation, the nonlinear partial differential equations (PDEs) are transformed into a set of ordinary equations (ODEs). The set of equations are solved numerically by adopting the bvp4c Matlab technique. The effects of different evolving parameters on axial velocity, temperature, and concentration are described in graphs. It is perceived that thermal and concentration stratification parameters result in the reduction of temperature and concentration distribution. Further, the heat generation parameter enhances the temperature distribution.