GATE Engineering - Mechanical Engineering (ME)

Thermodynamics, Fluid Dynamics, Heat Transfer & Strength of Materials question bank (Thermal, Fluid & Applied Mechanics)

Practice 64 free GATE Engineering - Mechanical Engineering (ME) Thermal, Fluid & Applied Mechanics - Thermodynamics, Fluid Dynamics, Heat Transfer & Strength of Materials questions with answers and step-by-step solutions.

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Q1.

Fluid Mechanics: In an incompressible steady flow through a horizontal converging pipe in 'Thermodynamics: First and Second Laws, Entropy, Carnot Cycle and Pure Substances', the cross-sectional area decreases by half ($A_2 = A_1 / 2$). By what factor does fluid velocity increase?

(A)

Factor of 2 ($V_2 = 2 V_1$ from continuity equation $A_1 V_1 = A_2 V_2$) (Thermodynamics: First and Second Laws, Entropy, Carnot Cycle and Pure Substances)

(B)

Factor of 4

(C)

Factor of $\sqrt{{2}}$

(D)

Velocity remains unchanged

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Q2.

Heat Transfer: A plane industrial furnace wall of thickness $L = 0.2\text{ m}$ and thermal conductivity $k = 1.2\text{ W/m}\cdot\text{K}$ has inner and outer surface temperatures of $1000^\circ\text{C}$ and $200^\circ\text{C}$ in 'Thermodynamics: First and Second Laws, Entropy, Carnot Cycle and Pure Substances'. The steady conductive heat flux is:

(A)

$4800\text{ W/m}^2$ ($q = \frac{k \Delta T}{L} = \frac{1.2 \times 800}{0.2}$) (Thermodynamics: First and Second Laws, Entropy, Carnot Cycle and Pure Substances)

(B)

$2400\text{{ W/m}}^2$

(C)

$9600\text{{ W/m}}^2$

(D)

$1200\text{{ W/m}}^2$

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