Finite Differencing
Fin Resistances
Integration Functions
Examples
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Semi-infinte Solid
Function returning transient temperature field in semi-infinite solids (Table 2-3)
[T, Eta, TT] = Tsemi
(surf,x,t)
Conduction Resistances
Conduction resistance between isothermal surfaces, as given by first three entries of Table 3-1
[Rcond, Vol] = Cond1D
(wall)
Fin resistance for fins with constant cross-sectional area
[Rfin, Vol, Bi] = FinApprox
(h,k,A,P,L,tip)
Annular fin resistance
[Rfin, Vol] = AnnFinApprox
(h,k,ri,ro,w,tip)
Conduction with Convection
Convective plate network relations expressed in Table 4-2
[Rcond, Rconv, Vol, Bi] = CondConv1D
(plate)
Seperation of Variables
Returns N roots to the transcendental eigenvalue condition
B = EigenVal
(EigenErr,N,del,flag=0)
Separation of variables solution to transient conduction in simple geometries (Table 6-1) (req:
Unpack,
EigenVal)
[T, Bi, tt, xx, TT] = TSepVar
(domain,x,t,varargin)
Exact wide rectangular fin resistance (req:
EigenVal)
[Rfin, Bi] = RecFinExact
(h,k,L,t,W,tip)
Temperature profiles in 1D conduction (req:
NSolve)
[Tspan, rspan] = Tprofile1D
(varargin)
Maximum time step for explicit integration of finite differencing equations
[tauMin tau] = dtMaxFDEqs
(Domain,Tref,t)
Heat and boundary (cell) equations in Cartesian coordinates
Domain = RecCellFDEqs
(x,y,plate,qgen,q1,q2,q3,q4,j)
Heat and boundary (cell) equations in cylindrical coordinates
Domain = CylCellFDEqs
(r,z,plate,qgen,q1,q2,q3,q4,j)
Checks for indexing errors in FDEs
[] = CheckFDEqs
(Domain,T,t)
Calculate weights of shared boundary nodes between two domains
wght = WghtFDEqs
(Domain)
Examples
Annular fin
Transient slab cooling
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