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Feasibility Analysis h T1 T2 T3 T4 T5 • One Dimensional Transient Analysis • One Dimensional Finite Difference Steady State Analysis • T1 and T5 will be known temperatures • The length of the rod and properties will be known

Feasibility Analysis h T1 T2 T3 T4 T5 One Dimensional Transient Analysis One Dimensional Finite Difference Steady State Analysis T1 and T5 will be known

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Page 1: Feasibility Analysis h T1 T2 T3 T4 T5 One Dimensional Transient Analysis One Dimensional Finite Difference Steady State Analysis T1 and T5 will be known

Feasibility Analysis

h

T1 T2 T3 T4 T5

• One Dimensional Transient Analysis• One Dimensional Finite Difference Steady State Analysis• T1 and T5 will be known temperatures• The length of the rod and properties will be known

Page 2: Feasibility Analysis h T1 T2 T3 T4 T5 One Dimensional Transient Analysis One Dimensional Finite Difference Steady State Analysis T1 and T5 will be known

One Dimensional Transient Analysis

Euler’s Method

h

T1 T2 T3 T4 T5

Page 3: Feasibility Analysis h T1 T2 T3 T4 T5 One Dimensional Transient Analysis One Dimensional Finite Difference Steady State Analysis T1 and T5 will be known

One Dimensional Transient Analysis

• Using the above matrix, nodal temperatures can be obtained for different instances in time.

h

T1 T2 T3 T4 T5

Page 4: Feasibility Analysis h T1 T2 T3 T4 T5 One Dimensional Transient Analysis One Dimensional Finite Difference Steady State Analysis T1 and T5 will be known

Simulation ParametersCopper Rod Parameters

Density (kg/m3) 8940

Thermal Conductivity (W/mK) 401

Specific Heat (J/KgK) 394

Length (m) 0.254

Diameter (m) 0.14

Stainless Steel ParametersDensity (kg/m3) 7820

Thermal Conductivity (W/mK) 43

Specific Heat (J/KgK) 490

Length (m) 0.254

Diameter (m) 0.14

Page 5: Feasibility Analysis h T1 T2 T3 T4 T5 One Dimensional Transient Analysis One Dimensional Finite Difference Steady State Analysis T1 and T5 will be known

Copper Rod Results

After 1 minute

After 2 minutes

Page 6: Feasibility Analysis h T1 T2 T3 T4 T5 One Dimensional Transient Analysis One Dimensional Finite Difference Steady State Analysis T1 and T5 will be known

Copper Rod Results

After 3 minutes

After 4 minutes

Page 7: Feasibility Analysis h T1 T2 T3 T4 T5 One Dimensional Transient Analysis One Dimensional Finite Difference Steady State Analysis T1 and T5 will be known

Stainless Steel Rod Results

After 5 minutes

After 10 minutes

Page 8: Feasibility Analysis h T1 T2 T3 T4 T5 One Dimensional Transient Analysis One Dimensional Finite Difference Steady State Analysis T1 and T5 will be known

Stainless Steel Rod Results

After 20 minutes

After 40 minutes

Page 9: Feasibility Analysis h T1 T2 T3 T4 T5 One Dimensional Transient Analysis One Dimensional Finite Difference Steady State Analysis T1 and T5 will be known

Stainless Steel Rod Results

After 60 minutes

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