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temperature rise of fluid due to pipe friction

temperature rise of fluid due to pipe friction

temperature rise of fluid due to pipe friction

(OP)
What fomula could be used to detemine the temperature rise of a liquid due to the pipe friction?

have a nice day

RE: temperature rise of fluid due to pipe friction

Do an energy ballance!

The energy lost to friction must be turned into heat - this heat is on the other side exchange with the surroundsings.

Best regards

Morten

RE: temperature rise of fluid due to pipe friction

I cannot recall the equation off hand, but I do remember getting one from Perry's Chemical Engineering Handbook; 6th edition a couple years ago.

ChemE, M.E. EIT
"The only constant in life is change." -Bruce Lee

RE: temperature rise of fluid due to pipe friction

Assuming you know pressure in and pressure out; it then becomes a simple thermodynamics problem.  Take the pipe as the free-body diagram.  You could assume adiabatic conditions and solve for outlet temperature or assume constant temperature and solve for heat out.

RE: temperature rise of fluid due to pipe friction

h= spec. enthalpy
v= spec. volume
p=pressure
u=velocity
F=friction,  (f/d)u^2/2
s spec. entropy
T=abs. temp
Q=heat transfer
x=distance
T(ds/dx)=  uF+Q   
dh/dx-vdpdx=uF+Q
Cp=spec heat at const press.
for Adiabatic conditions and v approx constant
Cp(Delta T)-v(Delta p)=uF(pipe length)

Knowing pressure drop, spec. heat,spec. vol, velocity and friction factor, --Solve for Temp difference.

RE: temperature rise of fluid due to pipe friction

If the mu, the J-T coef is available my last post could be modified for andiabatic and highly incompressible flow as follows:

energy equations dh+du^2/2=0    
 highly incomp flow yields  approximation of dh=0    perfect for use of J-T

dh/dx-vdpdx=uF+Q    
 dh/dx-vdpdx=uF  adiabatic
  -vdpdx=uF         for dh=0

-v(dp/dT)dT/dx=uF
-v/mu(dT/dx)=uF
delta temp=   -(mu)(uF/v)*length of pipe

Comments please!

RE: temperature rise of fluid due to pipe friction

Pump bhp = GPM x Ft Head /(3960 x Pump Eff)

With motor out, driven equipment in, heat gain Btu/hr Q = bhp x 2545 = gpm x 500 x (°F Td)



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