Document yrKDye3mKzvYj7r0M2erV3Xn

60 CHAPTER 5 1960 Guide Table 7.... Analytical Solutions for Heat Conduction in Variously Shaped Solids Boundary Conditions Data AvctJabl* in Graph Semi-infinite. Surface temperature suddenly changed. Temperature distribution in solid as a function of time. References: (4) p. 37; (5) p. V-28; (10) p. 254; (13) p. 40. Heat flow from surface as a function of time. References: (10) pp. 256, 267; (13) p. 47. A steady flow of heat is suddenly applied to the surface. Temperature distribution as a function of time. Reference: (10) p. 257. The surface temperature has been varying sinusoidally with time for a long time. Temperature distribution as a function of time. Reference: (10) p. 296- Semi-infinite with fluid at free surface. Heat fiow from surface as a function of time. Reference: (10) p. 296. The temperature of the fluid in contact with the surface has a sudden change. (The surface conductance is constant.) Temperature distribution as a function of time. References: (4) p.37; (5) pp. V-45,46,47. Slab. O' The temperature of the fluid in contact with the surface has been varying sinus oidally with time for a long time. (The surface conductance is constant.) Temperature distribution as a function of time. Reference: (10) p. 298. Heat flow from the surface as a function of time. Reference: (10) p. 298. The temperatures tt and are suddenly changed from the initial uniform slab temperature to a new temperature. (The case where the surface on one side is in sulated is treated by taking the case of a slab of twice the given thickness since the midplane has no heat flow due to symmetry.) Temperature distribution as a function of time. References: (5) p. V-12; (10) p. 265. The temperatures h and (j suddenly begin to increase as linear functions of time. The slab is initially at uniform tempera ture. (The case where one surface is insulated against heat flow is treated as noted above.) Temperature distribution as a function of time. Reference: (10) p.268. The temperature at both surfaces has been varying sinusoidally for a long time. Temperature distribution as a function of time. Reference: (10) p. 300. Heat flow from the surface. Reference: (10) p. 303. Heat Transfer 61 Table 7 ....' Analytical Solutions for Heat Conduction in Variously Shaped Solids (Continued) SAapnofSeOd Boundary CoodrKoAs Ooto Available in Graph* p]fth immersed in a fluid with constant conductance between fluid and slab surface. The temperature of the fluid is suddenly changed from the initial uniform slab temperature. (If one surface is insulated against heat flow, see above.) Temperature distribution as a function of time. References: (4) pp. 32, 33, 34, 35; (5) pp. V-9,10, 35,42; (10) pp. 274,284; (13) p. 106. XX <*, fe. Cylinder of infinite axial dimension. Heat flow from the surface as a function of time. References: (5) p. V-10; (10) p. 274; (13) p. 107. The temperature of the fluid at one surface varies as a periodic function of time while the temperature of the fluid at the other surface is constant. The conduct ances need not be the same on both sides. (The variations in temperature are expressible as a'Fourier series.) Temperature distribution as a function of time. Reference 14. Heat flow at the surface as a function of time. Reference 14. The surface temperature is suddenly changed from the initial (uniform) tem perature. Temperature distribution as a function of time. Reference: (10) p. 265. Heat flow from surface as a function of time. Multiply temperature difference between surface and fluid by surface conduct ance. The surface temperature suddenly begins to increase-linearly with time. Temperature distribution as a function of time. Reference: (10) p. 269. Cylinder of infinite axial dimension im mersed in a fluid. The surrounding fluid suddenly changes . from the initial (uniform) temperature of the cylinder. Temperature distribution as a function of time. References: (4)-p. 36; (5) pp. V-16, V-35, V-43, V-48; (10) pp. 278, 286; (15). Heat flow from the surface as a function of time. References: (5) p. V-16; (10) p. 278. The temperature of the surrounding fluid changes sinusoidally. Temperature distribution as a function of time. Reference: (5) p. Vl-34. Heat flow from the surface as a function of time. Reference: (5) p. VI-36. ^ Sphere. The temperature of the surface is suddenly changed from the initial uniform tem perature. Temperature distribution as a function of time. References: (5) p. V-23; (10) pp. 264,285. The temperature at the surface suddenly begins to change as a linear function of time. Temperature distribution as a function of time. Reference: (10) p. 289.