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Tables 1 and 2 by different amounts of Prandtl and Non-Newtonian fluid Pavrla index, local Nusselt parameters, productive friction coefficient in the Reynolds and maximum fluid velocity under boundary different temperature conditions and constant flux were obtained.
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Tables showed that this increase of Prantl in heat transfer compound local Nusselt increased and parameters such as maximum velocity and Reynolds sums decrease in friction coefficient that demonstrates this behavior of theory of reduce the boundary layer thickness according to increasing of Prandtl.
Also indicated are the cause of the higher Prandtl numbers, the friction coefficient smaller, indicating lower density fluid that originated from the less sensitive the floating forces and increased speed are all gradient
Also increasing in Prandtl number reduce the thermal boundary layer thickness and the temperature gradient rises in the surface.
Reducing behavior these parameters, leads their values to the same values of mandatory heat transfer this effect is related to the heat transfer combination that the increase of it(decreased heat penetration) effects in normal movements in the heat transfer compound decreased. According to change in the value of process parameters and their effect on movement combination, we study the Prandtl constant under the different boundary conditions . Results in the Table 3 present the results of others like ??? local Nusselt is compared. The results showed that the obtained values are so close to the results of previous studies that show the accuracy method is used.
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Heat transfer compound, indicating effect of natural movement (buoyancy force) is required along with handling so we can not neglect the effects of it. In this context, of the number of non-dimensional of Richardson (Ri), indicates the type and mode of heat transfer. In the input value of the area which the amount of maximum speed of core is smaller than unit, the mandatory heat transfer movement is dominant, but the downstream flow by increasing buoyancy force the heat transfer of free movement will dominant and maximum speed will be more than one.
Figure 1 and 2 of speed and temperature profiles by different parameters values of Pavrla Non-Newtonian index and number of non-dimensional of Richardson in different boundary conditions is shown. The results show that the pseudo-plastic fluid (n = 0.5) Maximum value of the Newtonian fluid and fluid Daylatant (n = 1.5) is less and with increasing of non-dimensional of Richardson, sensitivity of fluid increased between the difference of fuild temperature and surface increased which leads to the increase in upstream flow and increasing in the Pavrla viscosity index in a certain point of the flow temperature increases, in the other words, with increasing the fluid non-newton index the velocity valuein the center of channel is increased. Also with the increase of non-dimensional of Richardson due to increased of buoyancy and influence of the amount of temperature in the center will increased.
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Although the boundary layer is thin, it had a great role in the fluid dynamics. Thickness of velocity boundary layer determines the friction coefficient. In the mandatory movement which the surface temperature is equal to fluid temperature, thickness of boundary layer velocity (introduced friction coefficient) depending on the Vrynvldz of fluid 6.