Gujarat Technological UniversityWinter 2024 examination

GTU 3151909 Heat Transfer Winter 2024 Question Paper & PDF

B.E. · Mechanical Engineering · Semester 5 · Subject code 3151909
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Total
70 marks
To pass
23 marks (33%)
Duration
2.5 Hours 10:30 AM – 1:00 PM
Questions
5 with internal choice
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11 of 25 questions on this paper were also asked in other years. 2 more are types of question GTU sets again with new data. Each is marked below with the years it appeared.See all 19 repeated 3151909 questions, most asked first

Q.1

14 Marks
(a)
3 marks

Distinguish between the conduction, convection and radiation modes of heat transfer with suitable example.

(b)
4 marks

Draw temperature variation for the condenser of the domestic refrigerator and evaporator of the thermal power plant.

(c)
7 marksAsked in 2 of 4 papers

Derive equation of logarithmic mean temperature difference for parallel flow heat-exchanger.

Also asked in Summer 2023 Q5c OR

Q.2

14 Marks
(a)
3 marks

“Generally fin is provided to increase the heat transfer rate but by providing fin heat transfer may decrease” Justify the statement in context to heat transfer.

(b)
4 marks
aExplain the situation when the addition of fins to a surface is not useful.
bUnder what situations does the fin efficiency becomes 100%.
(c)
7 marksAsked in 3 of 4 papers

Write the most general equation in Cartesian coordinates for heat transfer by conduction. Hence, deduce the above equation for the following cases with suitable assumptions;

i)Laplace equation,
ii)Poisson equation, and
iii)Fourier equation.

Also asked in Summer 2026 Q1c, Summer 2025 Q1c

(c)
7 marksSame type asked in 3 of 4 papers

A steel fin (k=55W/mK) with a cross-section of an equilateral triangle, 5mm on the side is 80mm long. It is attached to a plane wall maintained at 350°C. The ambient air temperature is 40°C and unit surface conductance is 100W/m²K. Calculate the heat dissipation rate by assuming the fin as a rod with the tip of the fin is insulated.

Also asked in Summer 2026 Q3c OR, Summer 2023 Q2c OR

Q.3

14 Marks
(a)
3 marksAsked in 3 of 4 papers

What is critical radius of insulation? Explain its importance in electrical and thermal system.

Also asked in Summer 2026 Q3b OR, Summer 2025 Q2a

(b)
4 marks

Compare the value of effectiveness for the counter and parallel flow for regenerator for NTU = 2.5.

(c)
7 marksAsked in 3 of 4 papers

Explain with neat sketch, the various regimes in boiling and explain the condition for the growth of bubbles. What is the effect of bubble size on boiling?

Also asked in Summer 2026 Q5a OR, Summer 2023 Q5c

(a)
3 marksAsked in 3 of 4 papers
Write three properties of shape factor.

Also asked in Summer 2026 Q4a OR, Summer 2025 Q5a

(b)
4 marksAsked in 3 of 4 papers

Write the general differential equation in Cartesian coordinates for 3D unsteady heat conduction by considering an infinitesimal volume element. Deduce there from the conduction equations for the following cases; (i) Steady-state 1-D flow with heat generation at a uniform rate within the material.

Also asked in Summer 2026 Q1c, Summer 2025 Q1c

(c)
7 marksAsked in 3 of 4 papers

State the relationship between Nusselt number, Grashoff number and Prandtl number in case of heat transfer by nature convection from a vertical plate.

Also asked in Summer 2026 Q3c, Summer 2023 Q3c

Q.4

14 Marks
(a)
3 marks

Justify the use of polished surfaces in thermal insulation systems from the perspective of radiation.

(b)
4 marksAsked in 3 of 4 papers

Define Biot number and Fourier number, and point out their physical significance.

Also asked in Summer 2026 Q3a, Summer 2025 Q3a

(c)
7 marksAsked in 3 of 4 papers

Define radiation shield. Prove that if radiation shields of the emissivity same as the emissivity of two parallel plates is inserted between two parallel plates net heat transfer rate due to radiation is reduced to half as compared to without shield.

Also asked in Summer 2026 Q4b, Summer 2025 Q4a

(a)
3 marksAsked in 2 of 4 papers
Differentiate mean film temperature and bulk mean temperature.

Also asked in Summer 2026 Q1b

(b)
4 marks

What is lumped system analysis? What are the assumption made in the lumped system analysis and when it is applicable?

(c)
7 marksAsked in 4 of 4 papers
What is heat exchanger? Classify the heat exchanger types with example.

Also asked in Summer 2026 Q5b, Summer 2025 Q2b, Summer 2023 Q4b OR

Q.5

14 Marks
(a)
3 marks

What is the significance of thermal conductivity in material selection for heat exchangers and insulators? Discuss its role in optimizing heat transfer.

(b)
4 marks

Why is it important to analyze heat conduction through composite walls in industrial applications? Explain in brief, how to calculate the overall heat transfer rate in such systems.

(c)
7 marksSame type asked in 2 of 4 papers

An egg with mean diameter of 4 cm and initially at 20°C is placed in a boiling water pan for 4 minutes and found to be boiled to the consumer’s test. For how long should a similar egg for same consumer be boiled when taken from a refrigerator at 5°C. Take following properties for egg : k =10W / m°C , ρ=1200kg /m³ , c =2kJ / kg°C , h =100W /m² °C

Also asked in Summer 2023 Q2c

(a)
3 marks

What is the relevance of one-dimensional heat conduction analysis in practical applications? Explain with the example of heat transfer through a plane wall or cylinder.

(b)
4 marks

Discuss the principle behind why black surfaces absorb more radiant energy and how it enhances the efficiency of solar panels in converting sunlight to electricity.

(c)
7 marks

A cylinder in vertical position is having dimension of 18 cm diameter and length 1.5 m is maintained at a temperature of 100°C. It is kept in atmosphere having temperature 20°C. Calculate the heat lost by cylinder surface to the atmosphere by free convection. Properties of air at mean film temperature 60°C are as follows : ρ=1.06kg/m³, υ=18.97*10⁻⁶m²/s, k=0.1042kJ/m.hr.°C, Cp=1.004kJ/kg°C. Use the relation Nu=0.10(Gr.Pr)1/3 (The symbols have their usual meanings)

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About this paper

Official Gujarat Technological University (GTU) examination paper for Heat Transfer (Winter 2024, B.E. · Mechanical Engineering, Sem 5). Features complete 70-mark regular & remedial examination pattern, official marking distribution across all 5 questions, and direct 1-click official PDF download.

Transcribed for student exam preparation from Gujarat Technological University official examination archives. Questions, syllabus guidelines, and curriculum marking schemes remain the intellectual property of Gujarat Technological University.

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