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This paper aims to examine the Dufour and Soret combined effects on the study of two-dimensional squeezed flow of copper water nanofluid between parallel plates along with applied (external) magnetic field. Impact of higher order chemical reaction is also considered.

The nonlinear partial differential equations (PDEs) are changed into system of ordinary differential equations (ODEs) by employing suitable similarity transformations. These transformed ODEs are then solved by means of a semianalytical method called differential transform method (DTM). Effects of several changing physical parameters on fluid flow, temperature and concentration have been deliberated through graphs.

It is observed that Dufour and Soret numbers are directly related to temperature profile and a reverse trend was observed in the concentration profile. Temperature enhancement is perceived for the enhanced Dufour number. Enhancement in Dufour number shows a direct association with Sh and Nu for all values of squeezing parameter.

The combined Dufour and Soret effects are used in separation of isotopes in mixture of gases, oil reservoirs and binary alloys solidification. The squeeze nanoliquid flow can be used in the field of composite material joining, rheological testing and welding engineering.

This study is mainly useful for geosciences and chemical engineering.

The uniqueness in this research is the study of the impact of cross diffusion on chemically reacting squeezed nanoliquid flow with the chemical reaction order more than one in the presence of applied magnetic force using a semianalytical procedure, named DTM.

The objective of this work is to investigate the rate of entropy generation of a hybrid nanoliquid (Cu-Ag/Water) flowing on a stretching sheet in the presence of convective boundary conditions, heat generation/absorption, double stratification and Stefan blowing. At present, the capability of interchange of thermal energy is not concerned only with an estimation of the amplification in the rate of heat exchange but also depends on profitable and obliging contemplation. Acknowledging the demands, researchers have been associated with the refinement of the performance of a heat exchange, which is referred to as an intensification of the interchange of heat.

By using a similarity transformation, the system of governing partial differential equations (PDEs) is transformed into the system of nonlinear ordinary differential equations (ODEs). The rebuilt ordinary differential equations are then solved by applying the homotopy analysis method. After computing the temperature, concentration and velocity profiles for a range of relevant study parameters, the resulting results are examined and discussed.

Elevating the Stefan blowing parameter values enhances the temperature profile. Conversely, it diminishes with increasing concentration stratification, thermal stratification and heat generation/absorption coefficient. The rate of entropy generation rises with increasing diffusion parameter, Brinkman number and concentration difference parameter. Stronger viscous forces between the sheet and the fluid flow cause skin friction to increase as fw and Sϕ increase. The local Nusselt number falls as fw and ω rise. However, as Sθ rises, the local Nusselt number gets higher.

The transmission of mass and heat is the basis of the current study, which is useful in a number of industrial and technological domains.

The paper investigates entropy production and heat transmission in a hybrid nanoliquid flow over a stretching sheet, incorporating factors such as heat generation/absorption, convective boundary conditions, Stefan blowing and double stratification. The research highlights a gap in the existing literature, indicating that this specific combination of factors has not been previously explored.

The purpose of this study is to explore the impact of Joule heating, slip conditions, Dufour and Soret effects on three-dimensional magneto-convection of nanoliquid over a rotating surface in the existence of thermal radiation, viscous dissipation and internal heat generation/absorption.

The considered physical system is modelled by a set of partial differential equations (PDEs) with conditions at surface. Then, the nonlinear PDEs are altered into a system of ordinary differential equations and they are solved numerically by the Runge−Kutta−Fehlberg method. Plotting the collected velocity, temperature and solute concentration characteristics allows one to see how relevant parameters affect the results. Calculations are made for skin friction and the rate of heat and mass transfer.

The outcomes are portrayed in the form of tables and graphs with a wide range of parameter involved in the study. It is observed that the local thermal energy transfer rate enriches on increasing the value of both thermal and solute slips. The solutal slip parameter suppresses the solute transport rate and thermal slip supports the solute transport.

Combining the Dufour and Soret effects is used in oil reservoirs, binary alloy solidification and isotope separation in mixtures of gases. Heat exchangers, nuclear reactors and thermal engineering can all benefit from the usage of nanofluid with Joule heating.

This study is mainly useful for thermal sciences and chemical engineering.

The investigation of the effects of slip circumstances and Joule heating on magnetohydrodynamic rotating nanoliquid stream with thermal radiation and cross-diffusion makes this work unique. The discoveries produced are valuable and distinctive, and they have applications in many areas of thermal science and technology.