1 - Acta Technica Corviniensis

72Figure 12: Sherwood Number for different ScFigure 13: Sherwood Number for different SoFigure 14: Sherwood Number for different RDISCUSSION AND RESULTSFigure (1) displays the influences of M (magneticparameter) on the velocity field in cases ofcooling and heating of the plate. It is found thatthe velocity decreases with increasing of magneticparameter M in case of cooling, while it increases inthe case of heating of the plate. It is seen that fromFigure (2) the velocity increases with increase in So( Soret number ) in the case cooling of the platebut a reverse effect is identified in the case ofheating of the plate. From figure (3) and (4) it isobserved that with the increase of radiationparameter R or Schmidt number Sc, the velocityincreases up to certain y value (distance from theplate) and decreases later for the case of coolingof the plate. But a reverse effect is observed in theACTA TECHNICA CORVINIENSIS – Bulletin of Engineeringcase of heating of the plate. The velocity profilesfor different values of time t are shown in Figure (5), itis seen that as time t increases the velocity increasesgradually in the case of cooling of the plate and thetrend is just reversed in the case of heating of theplate.The temperature of the flow field is mainly affected bythe flow parameters, namely, Radiation parameter (R)and the prandtl number (Pr). The effects of theseparameters on temperature of the flow field areshown in figures 6 & 7 respectively. Figure 6 depictsthe temperature profiles against y (distance from theplate) for various values of radiation parameter (R) attime t=0.2 & 0.4 keeping Prandtl number (Pr) asconstant. It is observed that as radiation parameter Rincreases the temperature of the flow field decreasesat all the points.Figure 7 shows the plot of temperature of the flowfield against for different values of Prandtl number(Pr) at time t = 0.2 & t =0.4 taking radiation parameter(R) as constant. It is observed that the temperature ofthe flow field decreases in magnitude as Pr increases.It is also observed that the temperature for air(Pr=0.71) is greater than that of water (Pr=7.0). This isdue to the fact that thermal conductivity of fluiddecreases with increasing Pr, resulting decreases inthermal boundary layer.The concentration distributions of the flow field aredisplayed through figures 8, 9 &10. It is affected bythree flow parameters, namely Soret number (So),Schmidt number (Sc) and radiation parameter(R)respectively. From figure 8 it is clear that theconcentration increases with an increase in So (soretnumber). Figure 8 & 10 reveal the effect of Sc and R onthe concentration distribution of the flow field. Theconcentration distribution is found to increase fasterup to certain y value (distance from the plate) anddecreases later as the Schmidt parameter (Sc) orRadiation parameter (R) become heavier.Nusselt number is presented in Figure 11 against timet. From this figure the Nusselt number is observed toincrease with increase in R for both water (Pr=7.0) andair (Pr=0.71). It is also observed that Nusselt numberfor water is higher than that of air (Pr=0.71). Thereason is that smaller values of Pr are equivalent toincreasing the thermal conductivities and thereforeheat is able to diffuse away from the plate morerapidly than higher values of Pr, hence the rate of heattransfer is reduced. Figure 12, 13 & 14 representSherwood number against time t. And it is observedthat the Sherwood number decreases with increase inSc (Schmidt number), So (soret number) and R(radiation parameter).Nomenclaturea* Absorption coefficienta Accelerated parameter2012. Fascicule 3 [July–September]