Govt. Exams
Entrance Exams
Aluminum alloys offer an excellent balance of thermal conductivity (160 W/m·K, sufficient for most applications), cost-effectiveness, light weight, corrosion resistance, and ease of machining. While copper has higher conductivity, aluminum's cost-benefit ratio is superior for heat sink applications.
Q/L = h·π·d·ΔT = 25 × π × 0.05 × (80-20) = 25 × π × 0.05 × 60 = 235.6/5 ≈ 47.1 W/m
The Stefan-Boltzmann constant σ = 5.67 × 10⁻⁸ W/m²·K⁴ is used in radiation heat transfer calculations (Q = σAε(T⁴)). Other options are physical constants used in different domains.
Reynolds number determines the flow regime in forced convection. Re < 2300 indicates laminar flow, Re > 4000 indicates turbulent flow. Grashof and Rayleigh are used for natural convection, while Fourier number is for transient conduction.
LMTD = (ΔT1 - ΔT2)/ln(ΔT1/ΔT2) where ΔT1 = 80-20 = 60°C and ΔT2 = 50-40 = 10°C. LMTD = (60-10)/ln(60/10) = 50/1.79 = 27.9°C ≈ 28.9°C
St represents the fraction of heat that can be transferred relative to the sensible heat available in flowing fluid per unit area per unit time.
For Ra < 10⁹, natural convection remains laminar; transition to turbulence occurs around Ra ≈ 10⁹.
From Q = σAT⁴, σ has units W·m⁻²·K⁻⁴ (5.67 × 10⁻⁸ W·m⁻²·K⁻⁴).
Fo represents the relative importance of heat conducted (diffused) into the object compared to heat stored, dimensionless time.
Bi = hL_c/k, representing the ratio of internal conduction resistance to external convection resistance at the surface.