diff options
Diffstat (limited to '965/CH2/EX2.67/67.sci')
-rw-r--r-- | 965/CH2/EX2.67/67.sci | 17 |
1 files changed, 17 insertions, 0 deletions
diff --git a/965/CH2/EX2.67/67.sci b/965/CH2/EX2.67/67.sci new file mode 100644 index 000000000..a1fe6024f --- /dev/null +++ b/965/CH2/EX2.67/67.sci @@ -0,0 +1,17 @@ +clc;
+clear all;
+disp("/minimum nusselt number")
+disp("Heat flow byconduction through sphere is given by Q = (t1-t2)/((R1-R2)/4*%pi*k*R1*R2)= (t1-t2)/Rth cond")
+disp("Heat flow by convection at R2 to air is given by (t1-t2)/(1/4*%pi*h*R2^2)= (t1-t2)/Rth conv")
+disp("Rth cond = 1/(4*%pi*k)*(1/R1-1/R2)")
+disp("on neglecting motion of fluid, heat transfer will be conduction through small sphere and resistance of this shell to heat flow will be ")
+disp("Rthcond = 1/(4*%pi*r*k")
+disp("Q = (t2-ta)/(1/(4*%pi*r*k) - (1)")
+disp("Heat flow can also be given by introducing h as")
+disp("Q = (t2-ta)/(1/4*%pi*h*r^2 - (2)")
+disp("Equating (1) and (2) we get")
+disp("(t2-ta)/(1/(4*%pi*r*k)=(t2-ta)/(1/4*%pi*h*r^2")
+disp("Thus, h = k/r = 2*k/d")
+disp("Hence hd/k =2")
+disp("Thus Nu = 2")
+
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