The temperature and solute concentration profiles for a turbulent flow over a flat plate may be...

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The temperature and solute concentration profiles for a turbulent flow over a flat plate may be assumed as: Tw-ay, 0sys 8r T(y) T-T, Sp Sy sL and C4(y) - [CAw-CA0, SM S ysL where T, T, are the fluid temperatures at the wall and that in the free stream. CAw, C40 are the solute concentrations at the wall and that in the free stream. a, B are proportionality constants, and &, SM, and L are the boundary layer thicknesses for temperature, solute concentration and the overall fluid thickness above the flat plate. Sketch the above temperature and concentration profiles, and show the following: L Nu %3D L Sh State the flow conditions such that, Nu=Sh-1. If the velocity profile is, V() =Yy, 0sys8 where y is a proportionality constant, Su is the laminar boundary layer thickness for momentum transfer, show that when & =dy = 84 , Nu and Sh are related to friction coefficient Cf (C Sovz Jas follows: Nu = Sh =C Re. G, Re. The temperature and solute concentration profiles for a turbulent flow over a flat plate may be assumed as: Tw-ay, 0sys 8r T(y) T-T, Sp Sy sL and C4(y) - [CAw-CA0, SM S ysL where T, T, are the fluid temperatures at the wall and that in the free stream. CAw, C40 are the solute concentrations at the wall and that in the free stream. a, B are proportionality constants, and &, SM, and L are the boundary layer thicknesses for temperature, solute concentration and the overall fluid thickness above the flat plate. Sketch the above temperature and concentration profiles, and show the following: L Nu %3D L Sh State the flow conditions such that, Nu=Sh-1. If the velocity profile is, V() =Yy, 0sys8 where y is a proportionality constant, Su is the laminar boundary layer thickness for momentum transfer, show that when & =dy = 84 , Nu and Sh are related to friction coefficient Cf (C Sovz Jas follows: Nu = Sh =C Re. G, Re.