Question Solved1 Answer 2.11. Consider the derivation, presented in this chapter, of the energy integral equation from the governing boundary liyer energy equation. Repeat this derivation but include the viscous dissipation term in the energy equation.

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Transcribed Image Text: 2.11. Consider the derivation, presented in this chapter, of the energy integral equation from the governing boundary liyer energy equation. Repeat this derivation but include the viscous dissipation term in the energy equation.
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Transcribed Image Text: 2.11. Consider the derivation, presented in this chapter, of the energy integral equation from the governing boundary liyer energy equation. Repeat this derivation but include the viscous dissipation term in the energy equation.
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Solution 2.11Let T=T(y) only." Po "_(0)uarr_(y)^(4)p_(0)_(T=T_(1))rarru_(1)quad∼((u_(1))/(H))^(2)uarrgoverning difberential Equation{:[0=-(dP)/(dx)+mu(d^(2)u^(0))/(dy^(2))=>(dP)/(dx)=mu(d^(2)u)/(dy^(2))=c],[c=(-P_(x=L)-P_(0)-P_(x=0)P_(0))/(L)=0=>(d^(2)u)/(dy^(2))=0;(du)/(dy)=c_(1)],[u=c","y+c_(2)]:}Boundary conditinis (I) At y=0,u=0=>C_(2)=0 (II) At y=H,u=u_(1)=>U_(1)=C_(1)H=>C_(1)=(u_(1))/(H).u=u_(1)(y)/(H)=>(du)/(dy)=(u_(1))/(H)-(1)" rate of deforimation "Now,Energy Equation:-{:[quad=rhoC_(p)[(dT)/(d*t)+u(dT)/(dx)+v(dT)/(dy)]=k((d^(2)T)/(dx^(2))+(d ... See the full answer