Temperature profile after viscous heat transfer

Input(s)

Tb\mathrm{T}_{\mathrm{b}}: Temperature of Outer Perimeter (K)(\mathrm{K})

b: Distance of Outer Boundary ( ft\mathrm{ft} )

Br: Brinkman (dimensionless)

To\mathrm{T}_{\mathrm{o}}: Temperature of Inner Perimeter (K)(\mathrm{K})

x\mathrm{x}: Distance from Centre of Pipe (ft)(\mathrm{ft})

Output(s)

T: Temperature at Distance X(K)X(K)

Formula(s)

(TToTbTo)=12Br(xb)(1xb)+xb\left(\frac{\mathrm{T}-\mathrm{T}_{\mathrm{o}}}{\mathrm{T}_{\mathrm{b}}-\mathrm{T}_{\mathrm{o}}}\right)=\frac{1}{2} * \mathrm{Br} *\left(\frac{\mathrm{x}}{\mathrm{b}}\right) *\left(1-\frac{\mathrm{x}}{\mathrm{b}}\right)+\frac{\mathrm{x}}{\mathrm{b}}

Reference(s)

Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons, Chapter: 10, Page: 300 .


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