fluids formula sheet, Cheat Sheet of Thermofluid Systems

Download fluids formula sheet and more Cheat Sheet Thermofluid Systems in PDF only on Docsity! MECH 352 Formula Sheet Heat Transfer I Midterm and Final Exam CONCORDIA UNIVERSITY FACULTY OF ENGINEERING AND COMPUTER SCIENCE DEPARTMENT OF MECHANICAL AND INDUSTRIAL ENGINEERIN Fundamental equations for Heat Conduction; Convection; Radiation: x TkAQcond ∂ ∂ −= ; )( ∞−= TThAQ ssconv ; )( 4surr 4 rad TTAQ ss −= εσ Heat Conduction Equation: a. Rectangular coordinates: t T k e z T y T x T ∂ ∂ =+ ∂ ∂ + ∂ ∂ + ∂ ∂ α 1gen 2 2 2 2 2 2  b. Cylindrical coordinates: t T k e z T z Tr rr Tr rr ∂ ∂ =+      ∂ ∂ ∂ ∂ +      ∂ ∂ ∂ ∂ +      ∂ ∂ ∂ ∂ αφφ 111 gen 2  1D steady state conduction in plane, cylindrical and spherical walls: x TkAQcond ∆ ∆ −= ( )12ln 2 rr TklQcond ∆ = π 12 214 rr TkrrQcond − ∆ = π For fins: Very long fin: mx b e TT TxT − ∞ ∞ = − −)( where ckAhPm = 2 ( )∞−= TThPkAQ bcfin Insulated fin tip: ( )( )( )mL xLm TT TxT b cosh cosh)( − = − − ∞ ∞ ( ) ( )mLTThPkAQ bcfin tanh∞−= Fin efficiency: max,fin fin fin Q Q   =η Fin effectiveness: finno fin fin Q Q _   =ε Lumped System Analysis: bt i e TT TtT − ∞ ∞ = − −)( where VchAb pρ=               −               −      +               −      +      =      2max1max3max1max2max1max3,max 111 Q Q Q Q Q Q Q Q Q Q Q Q Q Q Dtotal Page 1 of 2