Q: Show that in the limit as / and /
Show that in the limit as / and the difference equation, Eq. (4.23), is equivalent to the two-dimensional version of the differential equation, Eq. (2.6).
See AnswerQ: Derive the stability criterion for the explicit solution of two-dimensional
Derive the stability criterion for the explicit solution of two-dimensional transient conduction.
See AnswerQ: Derive the stability criterion for an inside-corner boundary control volume
Derive the stability criterion for an inside-corner boundary control volume for two-dimensional steady conduction when a convection boundary condition exists.
See AnswerQ: A long concrete beam is to undergo a thermal test to determine
A long concrete beam is to undergo a thermal test to determine its loss of strength in the event of a building fire. The beam cross section is triangular as shown in the sketch. Initially, the beam is...
See AnswerQ: Using the information in Problem 1.22, estimate the ambient
Using the information in Problem 1.22, estimate the ambient air temperature that could cause frostbite on a calm day on the ski slopes.
See AnswerQ: A steel billet is to be heat treated by immersion in a
A steel billet is to be heat treated by immersion in a molten salt bath. The billet is 5 cm square and 1 m long. Prior to immersion in the bath, the billet is at a uniform temperature of 20°C, The bat...
See AnswerQ: Determine the difference equations applicable at the centerline and at the surface
Determine the difference equations applicable at the centerline and at the surface of an axisymmetric cylindrical geometry with volumetric heat generation and convection boundary condition. Assume s...
See AnswerQ: Determine the appropriate difference equations for an axisymmetric, steady, spherical
Determine the appropriate difference equations for an axisymmetric, steady, spherical geometry with volumetric heat generation. Explain how to solve the equations.
See AnswerQ: How would the results of Problem 4.47 be modified if
How would the results of Problem 4.47 be modified if the problem were not axisymmetric?
See Answer
