Govt. Exams
Entrance Exams
Reciprocity relation ensures energy conservation: heat leaving surface 1 striking surface 2 equals heat leaving 2 striking 1 on reciprocal basis.
While boundary layer grows (reducing h), buoyancy increases velocity and local Gr increases (increasing h). Combined effect shows h varies as x^(-1/4).
Small mean free path (60 nm << device dimension) ensures continuous medium behavior and heat transfer via molecular diffusion.
Pe represents relative importance of convection to diffusion: Pe >> 1 indicates convection dominance, Pe << 1 indicates diffusion dominance.
Effectiveness ε = Q_actual/Q_max = Q/(C_min(T_h,in - T_c,in)) for counterflow and parallel flow exchangers.
Constant Nu in fully developed laminar flow indicates entrance effects are negligible and thermal profile is established.
The Colburn analogy relates Stanton number to Nusselt, Reynolds, and Prandtl numbers: j_H = St·Pr^(2/3) = Nu/(Re·Pr^(1/3)).
When mL → ∞, the temperature along the fin drops rapidly and efficiency decreases, approaching zero as the fin becomes ineffective.
Temperature drop across a layer is inversely proportional to thermal conductivity (ΔT ∝ 1/k). Since k₃ is smallest, layer 3 experiences maximum temperature drop.
When Bi < 0.1, convective resistance is much larger than conductive resistance, allowing assumption of uniform temperature throughout the object.