This study discusses the flow of hybrid nanofluid over an infinite disk in a Darcy–Forchheimer permeable medium with variable thermal conductivity and viscosity. The objective of the current theoretical investigation is to identify the thermal energy characteristics of the nanomaterial flow resulting from thermo-solutal Marangoni convection on a disc surface. By including the impacts of activation energy, heat source, thermophoretic particle deposition and microorganisms the proposed mathematical model becomes more novel. The Cattaneo-Christov mass and heat flux law is taken into account when examining the features of mass and heat transmission rather than the traditional Fourier and Fick heat and mass flux law. MoS2 and Ag nanoparticles are dispersed in the base fluid water to synthesize the hybrid nanofluid. PDEs are transformed to ODEs by using similarity transformations. The RKF-45th order shooting method is used to solve the equations. With the use of appropriate graphs, the effects of a number of non-dimensional parameters on velocity, concentration, microorganism, and temperature fields are addressed. The local Nusselt number, density of motile microorganisms and Sherwood number are calculated numerically and graphically to derive correlations in terms of the relevant key parameters. The findings show that as we increase the Marangoni convection parameter, skin friction, local density of motile microorganisms, Sherwood number, velocity, temperature and microorganisms profiles increase, whereas Nusselt number and concentration profile exhibit an opposite behavior. The fluid velocity is reduced as a result of enhancing the Forchheimer parameter and Darcy parameter.

Marangoni convection is very useful in coating flow technology, surfactant replacement therapy for neonatal children, microfluidics, drying of semi-conductor vapors in microelectronics, foams, and film drainage in emulsions. The behavior of gyrotactic microorganisms and chemical reaction on the Marangoni convected Carreau-Yasuda liquid flowing over Riga plate with thermophoretic particle deposition is reported in this research. The Riga plate is self-possessed of magnets and electrodes. The fluid conducted electricity and the vertical Lorentz force has been exponentially increased. Thermal and mass species phenomena are investigated within the context of Dufour and Soret impacts. The PDEs are transformed into ODEs by the implication of suitable transformations. The resulting system of equations is solved by using homotopy analysis method (HAM). Using tables and graphs, the effects of dimensionless parameters on flow fields are described. The wall drag coefficient and pertinent flow rates are organized and stated. The results revealed that the temperature, concentration, and microorganisms profiles decay but the velocity profile augmented as the Marangoni ratio parameter increases.

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The physical phenomena of Darcy-Forchheimer flow of trihybrid nanofluid over a Riga plate with the influence of electrophoresis and thermophoresis on the particle deposition and non-uniform heat generation in a porous medium is discussed in this article. In a Marangoni convective flow, this study examined the impact of electrophoresis and thermophoresis on the rate at which aerosol particles deposited across a Riga plate. One of the most basic processes for moving tiny particles across a temperature gradient is known as thermophoretic particle deposition, and it is significant to both aero-solution and electrical engineering. Trihybrid nanofluid containing Cobalt iron oxide (COFe2O4) Manganese Zinc iron oxide (MnZnFeO4 ) and Molybdenum disulfide ( MOS2) nanoparticles, and based fluid water is used. For the case of trihybrid nanoparticles, the Xue and Yamada-Ota nanofluid models have been expanded. The required similarity transformations are used to translate the set of governing equations into a collection of ODEs. The HAM is used to analytically solve these simplified equations. For the embedded non-dimensional parameters, the graphic exploration of the velocity, concentration and thermal fields is made. According to our observation, increasing values of the Marangoni convection parameter enhance the velocity profile and decrease temperature and concentration distributions.