Williamson nanofluid aspects on fluctuating radiative heat and mass transfer with viscous dissipation along heat exchanger plate in nuclear-power plants

Abstract

Thermal transport and mass/concentration transfer through heat exchanger vertical plate is important component of nuclear power reactor for heat transfer in primary coolant loop to secondary loop. These loops generate stream in turbine to generate electricity energy. In nuclear power reactors, the heat exchanger plate provides enhanced cooling. The fluctuations and turbulence behavior of heat-mass transfer of oscillatory Williamson nanofluid over the heated surface with viscous dissipation, thermophoresis, and nonlinear radiating heat effects. Mathematical model is developed for unsteady flow to discuss the steady profiles and shifting amplitude of periodical heat/thermal and mass-concentration transport. The fluctuating Stokes conditions are applied to change the steady and fluctuating model into real/imaginary equations. Real, steady and imaginary models are transformed through primitive transformations to create the similarity in all equations under FORTRAN language. For asymptotic and fluctuating results of heat and mass transfer, the Gaussian elimination approach is used through implicit finite difference technique for programming algorithm. The velocity streamlines and isothermal lines are plotted along the heat exchanger plate for Eckert number ($E_c$), radiation parameter ($R_d$), thermophoresis ($N_T$) and Weissenberg number ($W$). The steady profiles of skin friction, heat transfer and mass rate are examined and then used in oscillatory formula to draw the periodical-skin friction, periodical heat transfer and periodical-mass rate with amplitude and turbulent effects. It is found that magnitude streamlines and isothermal lines increases as radiation parameter increases. The high fluctuations and turbulence in heat and mass transfer is noted for maximum thermophoresis and radiation parameter with greater amplitude.