Viscous dissipative microchannel flow of a nanofluid under Magneto-Hydrodynamic (MHD) effect and with boundary slip

The present study deals with an analytical solution in forced convection of laminar fully developed flow and heat transfer of Al2O3–water nanofluid in a slit microchannel with constant wall heat flux in the presence of a viscous dissipation effect. The novelty in the solution is to include the magneto-hydrodynamic (MHD) effect, consider a slip condition for velocity at the wall, and use a temperature-dependent model for thermal conductivity that has not been applied to such a situation before. Closed-form solutions are obtained based on the Brinkman number, Hartman number, dimensionless slip coefficient, and nanoparticle volume fraction. The results are discussed in terms of dimensionless velocity and temperature distributions and the Nusselt number. It is observed that the Nusselt number diminishes with an increase in the dimensionless slip coefficient and Brinkman number and it increases with an increase in the Hartman number and nanoparticle volume fraction. In addition, it is shown that the classical Maxwell model for thermal conductivity overestimates the Nusselt number compared to the present model

The HPM Applied to MHD Nanofluid Flow over a Horizontal Stretching Plate

The nonlinear two-dimensional forced-convection boundary-layer magneto hydrodynamic (MHD) incompressible flow of nanofluid over a horizontal stretching flat plate with variable magnetic field including the viscous dissipation effect is solved using the homotopy perturbation method (HPM). In the present work, our results of the HPM are compared with the results of simulation using the finite difference method, Keller's box-scheme. The comparisons of the results show that the HPM has the capability of solving the nonlinear boundary layer MHD flow of nanofluid with sufficient accuracy

Thigh-length compression stockings and DVT after stroke

Controversy exists as to whether neoadjuvant chemotherapy improves survival in patients with invasive bladder cancer, despite randomised controlled trials of more than 3000 patients. We undertook a systematic review and meta-analysis to assess the effect of such treatment on survival in patients with this disease