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In the present communication, we have model peristaltic transport of γAl2O3/H2O and γAl2O3/C2H6O2 in an asymmetric channel by using small Reynolds number (Re) and long wavelength (δ ≪ 1) assumptions. Two dimensional equations of peristaltic nanofluid flow are modeled and then solved by using analytical regular perturbation technique. We have formulated the peristaltic motion equations of nanofluids by applied magnetic field effect on asymmetric channel and derive energy equation by using heat generation/absorption effect. By using numerical integration the solution of pressure behavior and solution of resulting governing equations are calculated by Mathematica software. By using Matlab software the graphical behavior of pressure rise, trapping phenomena, temperature profile and pressure gradient are illustrated. We found that the narrow region of channel requires large pressure gradient, also the pressure gradient decreases with increase of channel width d. The pressure gradient of nanofluids increases due to increase in nanoparticle volume fraction, amplitudes and Hartmann number. Moreover, in trap phenomena the bolus size decreases by increase of Hartmann number and bolus size increases by increase of volume flow rate.

A mathematical model of micropolar squeezing flow of nanofluids between parallel planes is taken into consideration under the influence of the effective Prandtl number using ethyl glycol (C2H6O2) and water (H2O) as base fluids along with nanoparticles of gamma alumina (γAl2O3). The governing nonlinear PDEs are changed into a system of ODEs via suitable transformations. The RKF (Range–Kutta–Fehlberg) technique is used to solve the system of nonlinear equations deriving from the governing equation. The velocity, temperature, and concentration profiles are depicted graphically for emerging parameters such as Hartmann number M, micronation parameter K, squeeze number R, Brownian motion parameter Nb, and thermophoresis parameter Nt. However, physical parameters such as skin friction coefficient, Nusselt number, and Sherwood number are portrayed in tabulated form. The inclusion of the effective Prandtl number model indicated that the effect of the micropolar parameter K on angular velocity h(ξ) in both suction and injection cases is opposite for both nanofluids. It is observed that the increase in angular velocity is rapid for γAl2O3−C2H6O2 throughout the study.

In the present article, radiation effect on mixed convection boundary layer flow of a viscoelastic fluid over a horizontal circular cylinder with constant heat flux has been numerically analyzed. The governing boundary layer equations are transformed to dimensionless nonlinear partial differential equations. The equations are solved numerically by using Keller-box method. The computed results are in excellent agreement with the previous studies. Skin friction coefficient and Nusselt number are emphasized specifically. These quantities are displayed against the curvature parameter. The effects of pertinent parameters involved in the problem namely effective Prandtl number and mixed convection parameter on skin friction coefficient and Nusselt number are shown through graphs and table. Boundary layer separation points are also calculated with and without radiation and a comparison is shown. The presence of radiation helps to decrease or increase the skin friction coefficient for the negative or positive values of the mixed convection parameter accordingly. The decrease in value of effective Prandtl number helps to increase the value of skin friction coefficient and Nusselt number for viscoelastic fluids.