Effect of Particle Orientation on Heat Transfer in Arrays of Prolate Particles

Direct Numerical Simulations have been carried out to study the forced convection heat transfer of flow through fixed prolate particles for a variety of aspect ratios ar={5/4,5/3,5/1}with Reynolds number(Re)up to 100.Three variations of the solid volume fraction c={0.1,0.2,0.3}with four Hermans orientation factors S={−0.5,0,0.5,1}are studied.It has been found that changes in S cause prominent variations in the Nusselt number.In general,Nusselt number increases with the decrease of S.For all three aspect ratios,the Nusselt number remains a linear function of S at different c and Re.Therefore,it is concluded that,for heat transfer from prolate muti-particle system,the effects of orientations cannot be ignored.A new correlation for Nusselt number has been developed for arrays of prolate particles using the simulation data as a function of Re,c,S and ar.

Improved filtered mesoscale interphase heat transfer model

Mesoscale structures that form in gas-solid flows considerably affect interphase heat transfer.A filtered interphase heat transfer model accounts for the effects of unresolved mesoscale structures is required in coarse-grid simulations.In the literature,researchers obtain the filtered interphase heat transfer coefficient using a correction(Q)to the microscopic interphase heat transfer coefficient.Available models are based on filtered data in the range 0<Q<1.However,the percentage of filtered data in the range Q<0 and Q>1 is non-negligible.This percentage can reach approximately 20%when the dimensionless filter size is smaller than 1.028(66.7×the particle diameter).We proposed an improved filtered interphase heat transfer model by considering the data in the range Q<0 and Q>1.We evaluated the predictive power of our model in an a priori test.Our model has much better performance than other models when the dimensionless filter size△<8.222.