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When an object moves alongside a curved surface, it shows a curvilinear motion. The perception of curvilinear motion is majorly used in applications which are associated with centripetal and centrifugal forces. In this analysis, we studied the behaviour of nano-fluid and hybrid nano-fluid via curved surface with combined effects of heat generation and porous medium. For nano-fluid the combination of base fluid methanol and nano-particles AA7075 are assumed, while for hybrid nano-fluid base fluid methanol and nano-particles AA7075+AA7072 are used. AA7072 is mixture of zinc and alumina with some metals like copper, silicon and ferrous. Similarly AA7075 is mixture of magnesium, alumina and zinc with metals copper, silicon and ferrous. The partial differential equations are converted into ordinary differential equations by using similarity transformation. With the help of MATLAB software we used Bvp4c method to draw the graphs of the resulting equations and also we discuss the effect of solid volume fraction φ 1 , φ 2 , curvature parameter λ , Heat generation ω and porous medium ε for nano-fluid and hybrid nano-fluid. By enhancing the curvature parameter and volume fraction the temperature and velocity profile also enhances while the velocity profile reduces for porous medium and temperature profile increases for heat generation parameter. Nusselt number and skin friction effects are studied in the form of tables. An entropy generation analysis is also conducted. [ABSTRACT FROM AUTHOR]

In present analysis, we investigate the flow behavior of SiO 2 / H 2 O / C 2 H 6 O 2 nanofluid along with magnetic field and heat generation influence on permeable channel having squeezing/dilating walls. The modeled partial differential system including mass balance, momentum and temperature equations are transformed into ordinary differential system by using similarity transformations and achieved the coupled of nonlinear ordinary differential equations. The numerical solution of coupled system of equations is interpreted for velocity and temperature by using Bvp4c method. The graphical behavior of different parameters such as deforming rate L (for velocity we have taken L = ± 0. 1 , ± 0. 7 and ± 1. 2 , wheres for temperature L = − 0. 1 , − 0. 7 and − 0. 9 has been taken), permeating Reynolds number H (for velocity H = 0. 1 , 0. 4 and 0.7 and for temperature H = − 0. 6 , − 0. 7 and − 0. 8 has been taken), Hartman number M (for velocity M = 0. 1 , 1. 3 and 2.5 is taken), heat generation β (for temperature β = 0. 1 , 0. 5 and 0.9 is taken) and solid fraction volume R (for velocity R = 0. 1 , 0. 9 and 1.2 is taken, for temperature R = 0. 7 , 0. 8 and 0.9 is assumed) for temperature and velocity have been plotted using Matlab software. The observation of case I; L > 0 , H > 0 , shows the velocity of both base ( H 2 O and C 2 H 6 O 2 ) fluids increases at middle portion of channel due to increase in L and M. On the other hands the velocity profiles show increasing behavior for H and decreasing behavior for R at the edges of channel. Temperature distribution observation of case I; L > 0 , H > 0 , it is cleared that the temperature of SiO 2 / H 2 O / C 2 H 6 O 2 nanofluid increases due to increase of β. The temperature profile of SiO 2 / H 2 O nanofluid decreases by increase of R, on other hands the temperature profile of SiO 2 / C 2 H 6 O 2 nanofluid decreases on interval (− 1 < h < 0) and increases on interval (0 < h < 1) with increase of R. The observation of case II; L < 0 , H < 0 , deduces that the temperature of SiO 2 / H 2 O / C 2 H 6 O 2 nanofluid increases by increase of H. The graphical results show that temperature profile reveals batter performance for base fluid H 2 O as compared to base fluid C 2 H 6 O 2 . We compared the present results with previous results and found that present results are similar to previous results. • SiO 2 / H 2 O / C 2 H 6 O 2 nanofluid in squeezing/dilating wall are investigated. • Heat generation is considered. • Low Reynolds number and long wavelength approximation is used. • The equations are solved by using perturbation technique. • Relationship between kinematic viscosity and intermolecular forces are described. [ABSTRACT FROM AUTHOR]

• Bingham nanofluid is considered in an inclined non uniform channel with chemically reactive species. • Effect of homogenious–heterogenious is depicted in the flow of Bingham nanofluid. • Walls are assumed to be flexible. • Convective boundary conditions for temperature and concentration equations are considered. Objective :The flow kinetics generated with a pulsatile wave that travel along the channel has prime relevance in various processes in physiology and industry. The aim here is to investigate such phenomenon with Bingham fluid with chemically reacting species in terms of their homogeneous and heterogeneous characteristics. Method: To formulate the mathematical descriptions Bingham fluid with heat and mass equations is accounted. Using the similarity solutions, the proposed leading partial differential equations of the flow phenomena transferred into the nonlinear ordinary differential equations and boundary conditions are solved analytically. Such considerations perceive prime importance in medicine and genetics where heterogeneity in a cell makes several diseases difficult to execute. Results : Further the physical aspect of human tabular organs i.e., porosity in a medium is retained in the analysis. The utility of magnetic field in reference to medicine is employed. The walls are considered flexible. The whole problem is set to lubrication approach for simplification of resulting system. The attained results are tested on physical grounds by plotting graphs. Conclusion: It is analyzed that the Hartman number and porosity parameter reduce the velocity and temperature profiles. The elastic wall parameters E 1 and E 2 enhances both the velocity and temperature fields while E 3 enrolls an adverse effect. [ABSTRACT FROM AUTHOR]