Electrokinetic membrane pumping flow of hybrid nanofluid in a vertical microtube with heat source/sink effect

The purpose of the present research is to create a pressure gradient for controlling fluid flow via a vertical microtube by examining the impact of heat transfer analysis on membrane propagation. In this situation, the membrane’s motion generates pressure, which is then further regulated by buoyancy forces. Throughout the contraction cycle, the wall-connected membrane goes through intermittent periods of compression and expansion. The fluid is moved by the micro-pump due to wall deformation and membrane kinematics. The analytical solutions have been derived using the dimensional analysis and lubrication technique, which has been further simulated by utilizing the MATLAB software for the graphical demonstrations. The influence of functioning parameters on axial velocity, transverse velocity, stream function, isotherms, pressure gradient, temperature, volumetric flow rate, wall shear stress, and Nusselt number is visually shown. The results show that the volumetric flow rate of Debye length increases with progression through the micro-tube, whereas the Helmholtz-Smoluchowski has the reverse effect. Streamlines cannot be smaller or larger with varying parameters throughout the contraction phase, but extreme contour outlines are calculated in the downward path throughout the expansion phase in Helmholtz-Smoluchowski.