6. A flat plate is cooled with a fluid with a Prandtl number very small (Pr


6. A flat plate is cooled with a fluid with a Prandtl number very small (Pr << 1). Plate surface temperature is<br>variable and there is a change in shape T.(x,0) = T +C/x (C= constant). For the Pr «1 case, the<br>fluid velocity can be considered to be uniform across the plate (u=Vo0). Using the third order polynomial<br>for the temperature profile, find that the local Nusselt number changes witt Nu. = 0.75 Pr/² Re!<br>1/2<br>1/2<br>by the integral method. Assume that there is a constant heat flux boundary condition on the plate surface<br>and that the flow over the plate is realized under the conditions of the laminar boundary layer.<br>→ u zV<br>T,(x) = T, +C/x<br>

Extracted text: 6. A flat plate is cooled with a fluid with a Prandtl number very small (Pr < 1).="" plate="" surface="" temperature="" is="" variable="" and="" there="" is="" a="" change="" in="" shape="" t.(x,0)="T" +c/x="" (c="constant)." for="" the="" pr="" «1="" case,="" the="" fluid="" velocity="" can="" be="" considered="" to="" be="" uniform="" across="" the="" plate="" (u="Vo0)." using="" the="" third="" order="" polynomial="" for="" the="" temperature="" profile,="" find="" that="" the="" local="" nusselt="" number="" changes="" witt="" nu.="0.75" pr/²="" re!="" 1/2="" 1/2="" by="" the="" integral="" method.="" assume="" that="" there="" is="" a="" constant="" heat="" flux="" boundary="" condition="" on="" the="" plate="" surface="" and="" that="" the="" flow="" over="" the="" plate="" is="" realized="" under="" the="" conditions="" of="" the="" laminar="" boundary="" layer.="" →="" u="" zv="" t,(x)="T,">

Jun 11, 2022
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