Transient heat conduction explicit method

C Is there any liiniialion on Ihe size of the time step Ar in Ihe solution of transient heat conduction problems using (o) the explicit method and (fc) the implicit method ... 

S-68C Express the general stability criterion for the explicit method of solution of transient heat conduction problems. 

The simple, explicit difference method for transient heat conduction problems... 

Considep two-dimensional transient heat transfer in an L-shaped solid body that is initially at a uniform temperalure of 90°C and whose cross section is given in Fig. 5-51. The thermal conductivity and diffusivity of the body are k = 15 W/m C and a - 3.2 x 10 rriVs, respectively, and heat is generated in Ihe body at a rate of e = 2 x 10 W/m. The left sutface of the body is insulated, and the bottom surface is maintained at a uniform temperalure of 90°C at all times. A1 time f = 0, the entire top surface is subjected to convection to ambient air at = 25°C with a convection coefficient of h = 80 W/m C, and the right surface is subjected to heat flux at a uniform rate of r/p -5000 W/m. The nodal network of the problem consists of 15 equally spaced nodes vrith Ax = Ay = 1.2 cm, as shown in the figure, Five of the nodes are at the bottom surface, and thus their temperatures are known. Using the explicit method, determine the temperature at the top corner (node 3) of the body after 1,3, 5, 10, and 60 min. 

C Consider transient onc-dimensional heat conduction in a plane wall that is to be solved by the explicit method. If both sides of the wall ate subjected to specified heat flux, express the stability criterion for this problem in its simplest form. 

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