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hw11soln-typed

# hw11soln-typed - NCSU MAE310 1 A long horizontal...

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NCSU MAE310 1. A long horizontal 100-mm-diameter pipe passing hot oil is to be used in the design of an industrial water heater. Based on a typical water draw rate, the velocity over the pipe is 0.5 m/s. The hot oil maintains the outer surface temperature at 85°C and water temperature is 37°C. Determine the heat transfer per unit length of pipe if the flow direction is (a) horizontal, (b) downward, and (c) upward. oil T s = 85 Free convection flow Forced convection Freestream u = 0.5 m/s Water @ 37 n N n F n Nu Nu Nu ± = (F–forced; N–natural) + : assisting flows, n=3 + : transverse flows, n=4 –: opposing flows, n=3 Properties for water @ 335 ) T T ( 2 1 T s f = + = K, ν=4.625×10 -7 m 2 /s, k = 0.656 W/mK α=1.595×10 -7 m 2 /s, Pr = 2.88 β=535.5×10 -6 K -1 @ T =310 K ν=6.999×10 -7 m 2 /s, k = 0.628 W/mK, Pr = 4.62 @ T s =358 K, Pr s = 2.07 Determine whether convection is mixed 9 2 7 3 1 6 D 10 178 . 1 ) 10 625 . 4 ( ) 1 . 0 )( 37 85 )( K 10 5 . 535 )( 807 . 9 ( Gr

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hw11soln-typed - NCSU MAE310 1 A long horizontal...

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