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• Carbon nanotubes are considered. • Flow is assumed in channel. • Heat transfer is considered. The current study aims to examine the peristaltic movement of carbon nanotubes (CNTs) flow in an electro-osmotic curved channel with variable viscosity. No-slip conditions near the channel walls are used. Poisson and Nernst–Planck equations are used to model the electro-osmotic phenomena. Using a curvilinear coordinate system, the equations for nanofluid flow along a curved pipe are formed. Firstly the problem is formulated and then un-dimensionalized. The approximation of long-wavelength along with a lesser Reynolds number has been applied to estimate the equations. The resulting mathematical relations are numerically solved by using the shooting method. To analyze the behavior graphically, we use MATLAB software. Graphical findings show the influence of parameters that affect the flow characteristics. It is noted that the velocity and temperature of the flow decrease by increasing the viscosity parameter. It is also observe that the heat absorption parameter helps to raise the temperature profile for CNTs. [ABSTRACT FROM AUTHOR]

Current discussion is to evaluate the influence of wall properties on thermal and flow performance, through a sinusoidal inclined wavy tube. To fulfill this phenomena we consider a sinusoidal tube having wavy walls, furthermore silicon-dioxide, ferrosoferric-oxide and zinc-oxide are treated as nano-particles and combination of 40% C 2 H 6 O 2 and 60% H 2 O as a base-fluid, but after the literature review we have seen that Iftikhar et al. (2018) presented the consequence of wall properties on copper–water nano-fluid through inclined tube. The out-coming arithmetical results are simplified with the assist of mathematica and perturbation method. Further-more, we graphically evaluate the thermal and flow performance of nanofluids at different rate of solid volume fractions (ϕ) , rigidity parameter (E 1) , Grashof number (G r) , slip parameter (γ) and heat generation parameter. we observed that Solid volume fraction (ϕ) of silicon dioxide, ferrosoferric oxide and zinc oxide causes the reduction of velocity profile. And velocity profile shows the opposite behavior corresponding to (E 1) and (G r). Temperature profile θ (r , t) decreases by developing the amount of (ϕ) for silicon dioxide, ferrosoferric oxide and zinc oxide, and temperature profile moves upward corresponding to heat parameter B. • Wall properties and thermal behavior of nano-fluids flow over an inclined sinusoidal wavy pipe is assumed. • Silicon-dioxide, ferrosoferric -oxide and zinc-oxide are treated as nano-particles and combination of 40% ethylene-glycol and 60% water as a base fluid. • We assume a sinusoidal wavy surface. • The problem is solved by using Mathematica. [ABSTRACT FROM AUTHOR]