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This paper analyse the mathematical model of ciliary motion in an annulus. The effect of convective heat transfer and nanoparticle are taken into account. The governing equations of Jeffrey six-constant fluid along with heat and nanoparticle are modelled and then simplified by using long wavelength and low Reynolds number assumptions. The reduced equations are solved with the help of homotopy perturbation method. The obtained expressions for the velocity, temperature and nanoparticles concentration profiles are plotted and the impact of various physical parameters are investigated for different peristaltic waves. Streamlines has also been plotted at the last part of the paper. Keywords: Non-Newtonian fluid, Peristaltic flow, Cilia effect, Analytical solution

This paper analyse the mathematical model of ciliary motion in an annulus. The effect of convective heat transfer and nanoparticle are taken into account. The governing equations of Jeffrey six-constant fluid along with heat and nanoparticle are modelled and then simplified by using long wavelength and low Reynolds number assumptions. The reduced equations are solved with the help of homotopy perturbation method. The obtained expressions for the velocity, temperature and nanoparticles concentration profiles are plotted and the impact of various physical parameters are investigated for different peristaltic waves. Streamlines has also been plotted at the last part of the paper. Keywords: Non-Newtonian fluid, Peristaltic flow, Cilia effect, Analytical solution

Abstract The performance of friction drag, heat transfer rate, and mass transfer is illustrated the in boundary layer flow region via density of motile microorganisms. Magnetic dipole in presence of Curie temperature and density of motile microorganisms plays important role in stabilizing and controlling the momentum and thermal boundary layers. In this direction, the characteristics of the magnetic dipole on the suspensions of motile microorganisms in the flow of ferrofluid are incorporated. Heat flux in the suspensions of motile microorganisms and at the surface is computed via Fourier's law of heat conduction. Characteristics of sundry physical parameter on the ferrohydrodynamic, thermal energy, mass transfer, and bioconvection are computed numerically and analytically. It is depicted that an enhancement in thermal Rayleigh number results in the reduction of friction drag, thereby enhances the heat transfer rate and Sherwood number at the surface, while the local density of motile microorganisms enhance for larger values of bioconvection Lewis number. Further, it is characterized that bioconvection Rayleigh number has increasing behavior on the heat transfer in the boundary layer. Comparison with available results are found in an excellent agreement.

Abstract The performance of friction drag, heat transfer rate, and mass transfer is illustrated the in boundary layer flow region via density of motile microorganisms. Magnetic dipole in presence of Curie temperature and density of motile microorganisms plays important role in stabilizing and controlling the momentum and thermal boundary layers. In this direction, the characteristics of the magnetic dipole on the suspensions of motile microorganisms in the flow of ferrofluid are incorporated. Heat flux in the suspensions of motile microorganisms and at the surface is computed via Fourier's law of heat conduction. Characteristics of sundry physical parameter on the ferrohydrodynamic, thermal energy, mass transfer, and bioconvection are computed numerically and analytically. It is depicted that an enhancement in thermal Rayleigh number results in the reduction of friction drag, thereby enhances the heat transfer rate and Sherwood number at the surface, while the local density of motile microorganisms enhance for larger values of bioconvection Lewis number. Further, it is characterized that bioconvection Rayleigh number has increasing behavior on the heat transfer in the boundary layer. Comparison with available results are found in an excellent agreement.

This study examines the peristaltic flow of Jeffrey nanofluid in a curved channel. The governing equations of Jeffrey nanofluid model for curved channel are derived including the effects of curvature. The highly nonlinear partial differential equations are simplified by using the long wave length and low Reynolds number assumptions. The reduced nonlinear partial differential equations are solved analytically with the help of homotopy perturbation method. The expression for pressure rise is computed through numerical integration. The physical features of pertinent parameters have been discussed by plotting the graphs of pressure rise, velocity, temperature, nanoparticle volume fraction and stream functions. It is observed that the curve-ness of the channel decreases the pressure rise in the peristaltic pumping region. Moreover, curve-ness of the channel effects the fluid flow by decreasing the fluid velocity near inner wall and increasing the velocity near the outer wall of the channel.

This study examines the peristaltic flow of Jeffrey nanofluid in a curved channel. The governing equations of Jeffrey nanofluid model for curved channel are derived including the effects of curvature. The highly nonlinear partial differential equations are simplified by using the long wave length and low Reynolds number assumptions. The reduced nonlinear partial differential equations are solved analytically with the help of homotopy perturbation method. The expression for pressure rise is computed through numerical integration. The physical features of pertinent parameters have been discussed by plotting the graphs of pressure rise, velocity, temperature, nanoparticle volume fraction and stream functions. It is observed that the curve-ness of the channel decreases the pressure rise in the peristaltic pumping region. Moreover, curve-ness of the channel effects the fluid flow by decreasing the fluid velocity near inner wall and increasing the velocity near the outer wall of the channel.

Abstract In the current study, sway of nanofluid on peristaltic transport of a hyperbolic tangent fluid model in the incidence of tending magnetic field has been argued. The governing equations of a nanofluid are first modeled and then simplified under lubrication approach. The coupled nonlinear equations of temperature and nano particle volume fraction are solved analytically using a homotopy perturbation technique. The analytical solution of the stream function and pressure gradient are carried out using perturbation technique. The graphical results of the problem under discussion are also being brought under consideration to see the behavior of various physical parameters.

Abstract In the current study, sway of nanofluid on peristaltic transport of a hyperbolic tangent fluid model in the incidence of tending magnetic field has been argued. The governing equations of a nanofluid are first modeled and then simplified under lubrication approach. The coupled nonlinear equations of temperature and nano particle volume fraction are solved analytically using a homotopy perturbation technique. The analytical solution of the stream function and pressure gradient are carried out using perturbation technique. The graphical results of the problem under discussion are also being brought under consideration to see the behavior of various physical parameters.

The present study inspects the non-aligned stagnation point nano fluid over a convective surface in the presence of partial slip.Two types of base fluids namely water and kerosene are selected with Cu nanoparticles. The governing physical problem is presented and transformed into a system of coupled nonlinear differential equations using suitable similarity transformations. These equations are then solved numerically using midpoint integration scheme along with Richardson extrapolation via Maple. Impact of relevant physical parameters on the dimensionless velocity and temperature profiles are portrayed through graphs. Physical quantities such as local skin frictions co-efficient and Nusselt numbers are tabularized. It is detected from numerical computations that kerosene-based nano fluids have better heat transfer capability compared with water-based nanofluids. Moreover it is found that water-based nanofluids offer less resistance in terms of skin friction than kerosene-based fluid. In order to authenticate our present study, the calculated results are compared with the prevailing literature and a considerable agreement is perceived for the limiting case.