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The main objective of this work is to investigate viscous dissipation with thermal radiation impact on hybrid nanofluid flow past an exponentially stretching/shrinking surface along with magnetic field, and heat source/sink, slip boundary conditions. Water ( H 2 O ) is taken into account as a host fluid with copper (Cu) and alumina ( Al 2 O 3 ) as nanoparticles to form a hybrid nano liquid (Cu- H 2 O - Al 2 O 3 ). The coupled nonlinear partial differential equations are transmuted into ordinary differential equations using similarity transformations with boundary conditions and these ODEs are simplified using numerical solver, bvp4c in MATLAB. The behavior of momentum profiles, thermal profiles, coefficient of heat transfer ( Nux 1 ) and skin friction ( C f ) are explored using the pertinent parameters such as Eckert Number ( Ec 1 ), Suction Parameter ( S 1 ), Magnetic Parameter ( M 1 ), Radiation Parameter ( Nr 1 ), Stretching/Shrinking Parameter (λ ), Velocity and thermal slip Parameters ( A 1 and B 1 ), Heat source/sink Parameter ( β 1 ), variable thermal Parameter (ϵ ), thermal conductivity (K) are depicted through tables and graphs. The present simulation is more stable and convergence when compared with the existing literature, which is portrayed in the tables. The presence of dual solution is noticed for Ec 1 = 0.1, 0.11,0.12 when the critical value of λ (= λ c ) are λ c 1 = - 1.60355799, λ c 2 = - 1.60322884 and λ c 3 = - 1.6031348, respectively. The existence of the dual solution is reported due to the presence of shrinking surface and suction, further, the first solution is found to be more stable. The novelty of the current simulation includes MHD hybrid nano liquid flow stability with the impact of viscous dissipation and thermal radiation past stretching/shrinking permeable plane to fill the research gap in the existing literature. The applications of transmission of heat by stretching/shrinking surface in boundary layers is used in various fields such as polymer and material processing, biomedical engineering, heat exchangers, etc. [ABSTRACT FROM AUTHOR]

The current problem is significant because it concerns the modeling of electroosmosis regulated peristaltic flow of hybrid Newtonian liquid as seen within a symmetric tube. This model provides an exciting mathematical formulation with unexpected features, especially when impacted by electroosmotic forces, which aids in understanding how these complex fluids behave under different conditions. It is essential for maintaining product integrity, which can help us avoid problems in the future. The manuscript focuses on the perception of copper and SIO2 hybrid nanoparticles using blood as a means of transport fluid. The theoretical formulation is based on nanoparticles having blades, platelets, and cylindrical forms. At the microscale, physiological transport phenomena generated by pressure to form a pressure gradient, velocity, and thermal slip may be used to articulately construct a theoretical treatment for rheumatoid arthritis and biomimetic thermal pumping systems. The boundary conditions for computation are generated using the proper transformations, and Euler's technique is used to produce an accurate solution of the resulting system of nonlinear ODEs raised by governing PDEs. "Mathematica" computer software applications are associated to the various physical aspects that impact flow and pumping. A comprehensive parametric study found that employing blood-infused nanoparticle blades to treat autoimmune disorders produced positive results. Trapping, a basic peristaltic pumping phenomenon, is also depicted and quickly discussed. This research could have uses in microfluidic devices, medication delivery systems, and other industries where precise fluid flow control is required. Researchers may be able to improve the efficiency and accuracy of such systems by regulating fluid flow using an electric field. [ABSTRACT FROM AUTHOR]

Nanomaterials are quite significant in the physiological and engineering processes. Such materials have motivated the recent scientists in view of their enhanced thermophysical characteristics than conventional liquids. With this in mind, the intention here is to address the peristaltic activity of Sisko nano-liquid subject to Hall and Ohmic heating effects. Fluid-saturated porous space is modeled using the modified Darcy's law. Thermal radiation is also accounted. In addition, the analysis carried out is subject to thermal jump, velocity slip and zero mass flux condition. Numerical solution to the resulting nonlinear problem through the lubrication approach is developed. Solution analysis is made by pointing out the impacts of sundry variables. The temperature profile increases by increasing the Hartman number due to the Joule heating effect. However, temperature decreases by increasing the Hall parameter. [ABSTRACT FROM AUTHOR]

Being motivated from the recent developments in biomicrofluidics, a mathematical model is presented to analyze the two-layered electrothermal flow via peristaltic propulsion of couple stress fluids caused by velocity and thermal slip conditions. An asymmetric microchannel is considered for the flow regime with different zeta potential moving with wave velocity. Couple stress fluid has been taken for aqueous solution to represent the non-Newtonian characteristics of physiological fluids. A lubrication approach with Debye H u ¨ ckel linearization is taken to obtain the analytical solution. Furthermore, heat transfer analysis is performed to analyze the thermal characteristics and variations in Nusselt number in the presence of thermal radiation. The study shows that the temperature reduces with increasing the electrical double layer thickness, thermal radiation, couple stress parameter, and magnitude of Brinkman number, however, it enhances with increasing the Joule heating and thermal slip effects. The rate of heat transfer enhances with Joule heating effects, while the trend is reversed due to the presence of two-layered electroosmotic flow and couple stress effect. [ABSTRACT FROM AUTHOR]

Slippage impacton peristaltic transport of MHD hybrid nanofluids (TiO2–Cu/H2O) in an asymmetric channel is addressed. Impact of viscous dissipation and Hall current are analyzed in the modeling as well. Constitutive expressions for viscoelastic Jeffery fluid are employed. The mathematical expressions of the problem are transformed into a set of ordinary differential equations by employing appropriate quantities. Well-known long wavelength assumption is invoked. The obtained dimensionless model is then numerically solved with the help of Adams–Bashforth method. The effects of sundry parameters on flow distributions are demonstrated via plots. [ABSTRACT FROM AUTHOR]

The present investigation aims to examine peristalsis in a symmetric channel having flexible walls. Sisko nanofluid is considered for the investigation. Joule heating and nonlinear thermal radiation are taken. Boundary conditions are subject to the slip conditions for velocity, temperature and concentration. Entropy generation analysis for viscous dissipation, Joule heating and nonlinear thermal radiation is carried out. System is numerically computed through NDSolve of Mathematica. Graphical analysis is made for velocity, temperature, concentration, heat transfer coefficient and entropy generation. Conclusions are drawn through discussion. This study discloses that magnetic field leads to slow down the fluid velocity and causes decay in heat transfer coefficient. Further, Brownian motion and thermophoresis parameter caused enhancement in temperature and entropy generation rate. Slip parameters for velocity and temperature lead to enhancement in the velocity and temperature, whereas opposite impact is observed for concentration via corresponding slip parameter. [ABSTRACT FROM AUTHOR]