The fluid element deformation is to be sketched when ∂ v x ∂ y is much larger than ∂ v y ∂ x . Concept Introduction: Fluid element deformation occurs when the element changes its position with respect to its previous position. There are different types of deformation depending upon the aspect of change. These can be translation, rotation, angular, and volumetric deformations.

Question

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Answer 1

Question

Chapter 7, Problem 7.1P

(a)

Interpretation Introduction

Interpretation:

The fluid element deformation is to be sketched when ∂vx∂y is much larger than ∂vy∂x .

Concept Introduction:

Fluid element deformation occurs when the element changes its position with respect to its previous position. There are different types of deformation depending upon the aspect of change. These can be translation, rotation, angular, and volumetric deformations.

(a)

Expert Solution

Answer to Problem 7.1P

The fluid element deformation when 1y ∂vx∂y is much larger than 13 ∂vy∂x is sketched as:

Fundamentals of Momentum, Heat and Mass Transfer, Chapter 7, Problem 7.1P , additional homework tip 1

Explanation of Solution

Take a fluid element and plot it on a graph along x and y axis as shown below:

Fundamentals of Momentum, Heat and Mass Transfer, Chapter 7, Problem 7.1P , additional homework tip 2

For a large change in ∂vx∂y as compared to ∂vy∂x , the fluid element shown in the above figure deforms over the x axis and remains unaltered over the y axis. Therefore, the deformation is sketched as:

Fundamentals of Momentum, Heat and Mass Transfer, Chapter 7, Problem 7.1P , additional homework tip 3

(b)

Interpretation Introduction

Interpretation:

The fluid element deformation is to be sketched when ∂vy∂x is much larger than ∂vx∂y .

Concept Introduction:

Fluid element deformation occurs when the element changes its position with respect to its previous position. There are different types of deformation depending upon the aspect of change. These can be translation, rotation, angular, and volumetric deformations.

(b)

Expert Solution

Answer to Problem 7.1P

The fluid element deformation when ∂vy∂x is much larger than ∂vx∂y is sketched as:

Fundamentals of Momentum, Heat and Mass Transfer, Chapter 7, Problem 7.1P , additional homework tip 4

Explanation of Solution

Take a fluid element and plot it on a graph along x and y axis as shown below:

Fundamentals of Momentum, Heat and Mass Transfer, Chapter 7, Problem 7.1P , additional homework tip 5

For a large change in ∂vy∂x as compared to ∂vx∂y , the fluid element shown in the above figure deforms over the y axis and remains unaltered over the x axis. Therefore, the deformation is sketched as:

Fundamentals of Momentum, Heat and Mass Transfer, Chapter 7, Problem 7.1P , additional homework tip 6

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Answer 2

Question

Chapter 7, Problem 7.1P

(a)

Interpretation Introduction

Interpretation:

The fluid element deformation is to be sketched when ∂vx∂y is much larger than ∂vy∂x .

Concept Introduction:

Fluid element deformation occurs when the element changes its position with respect to its previous position. There are different types of deformation depending upon the aspect of change. These can be translation, rotation, angular, and volumetric deformations.

(a)

Expert Solution

Answer to Problem 7.1P

The fluid element deformation when 1y ∂vx∂y is much larger than 13 ∂vy∂x is sketched as:

Fundamentals of Momentum, Heat and Mass Transfer, Chapter 7, Problem 7.1P , additional homework tip 1

Explanation of Solution

Take a fluid element and plot it on a graph along x and y axis as shown below:

Fundamentals of Momentum, Heat and Mass Transfer, Chapter 7, Problem 7.1P , additional homework tip 2

For a large change in ∂vx∂y as compared to ∂vy∂x , the fluid element shown in the above figure deforms over the x axis and remains unaltered over the y axis. Therefore, the deformation is sketched as:

Fundamentals of Momentum, Heat and Mass Transfer, Chapter 7, Problem 7.1P , additional homework tip 3

(b)

Interpretation Introduction

Interpretation:

The fluid element deformation is to be sketched when ∂vy∂x is much larger than ∂vx∂y .

Concept Introduction:

Fluid element deformation occurs when the element changes its position with respect to its previous position. There are different types of deformation depending upon the aspect of change. These can be translation, rotation, angular, and volumetric deformations.

(b)

Expert Solution

Answer to Problem 7.1P

The fluid element deformation when ∂vy∂x is much larger than ∂vx∂y is sketched as:

Fundamentals of Momentum, Heat and Mass Transfer, Chapter 7, Problem 7.1P , additional homework tip 4

Explanation of Solution

Take a fluid element and plot it on a graph along x and y axis as shown below:

Fundamentals of Momentum, Heat and Mass Transfer, Chapter 7, Problem 7.1P , additional homework tip 5

For a large change in ∂vy∂x as compared to ∂vx∂y , the fluid element shown in the above figure deforms over the y axis and remains unaltered over the x axis. Therefore, the deformation is sketched as:

Fundamentals of Momentum, Heat and Mass Transfer, Chapter 7, Problem 7.1P , additional homework tip 6

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Answer 3

Question

Chapter 7, Problem 7.1P

(a)

Interpretation Introduction

Interpretation:

The fluid element deformation is to be sketched when ∂vx∂y is much larger than ∂vy∂x .

Concept Introduction:

Fluid element deformation occurs when the element changes its position with respect to its previous position. There are different types of deformation depending upon the aspect of change. These can be translation, rotation, angular, and volumetric deformations.

(a)

Expert Solution

Answer to Problem 7.1P

The fluid element deformation when 1y ∂vx∂y is much larger than 13 ∂vy∂x is sketched as:

Fundamentals of Momentum, Heat and Mass Transfer, Chapter 7, Problem 7.1P , additional homework tip 1

Explanation of Solution

Take a fluid element and plot it on a graph along x and y axis as shown below:

Fundamentals of Momentum, Heat and Mass Transfer, Chapter 7, Problem 7.1P , additional homework tip 2

For a large change in ∂vx∂y as compared to ∂vy∂x , the fluid element shown in the above figure deforms over the x axis and remains unaltered over the y axis. Therefore, the deformation is sketched as:

Fundamentals of Momentum, Heat and Mass Transfer, Chapter 7, Problem 7.1P , additional homework tip 3

(b)

Interpretation Introduction

Interpretation:

The fluid element deformation is to be sketched when ∂vy∂x is much larger than ∂vx∂y .

Concept Introduction:

Fluid element deformation occurs when the element changes its position with respect to its previous position. There are different types of deformation depending upon the aspect of change. These can be translation, rotation, angular, and volumetric deformations.

(b)

Expert Solution

Answer to Problem 7.1P

The fluid element deformation when ∂vy∂x is much larger than ∂vx∂y is sketched as:

Fundamentals of Momentum, Heat and Mass Transfer, Chapter 7, Problem 7.1P , additional homework tip 4

Explanation of Solution

Take a fluid element and plot it on a graph along x and y axis as shown below:

Fundamentals of Momentum, Heat and Mass Transfer, Chapter 7, Problem 7.1P , additional homework tip 5

For a large change in ∂vy∂x as compared to ∂vx∂y , the fluid element shown in the above figure deforms over the y axis and remains unaltered over the x axis. Therefore, the deformation is sketched as:

Fundamentals of Momentum, Heat and Mass Transfer, Chapter 7, Problem 7.1P , additional homework tip 6

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Answer 4

Question

Chapter 7, Problem 7.1P

(a)

Interpretation Introduction

Interpretation:

The fluid element deformation is to be sketched when ∂vx∂y is much larger than ∂vy∂x .

Concept Introduction:

Fluid element deformation occurs when the element changes its position with respect to its previous position. There are different types of deformation depending upon the aspect of change. These can be translation, rotation, angular, and volumetric deformations.

(a)

Expert Solution

Answer to Problem 7.1P

The fluid element deformation when 1y ∂vx∂y is much larger than 13 ∂vy∂x is sketched as:

Fundamentals of Momentum, Heat and Mass Transfer, Chapter 7, Problem 7.1P , additional homework tip 1

Explanation of Solution

Take a fluid element and plot it on a graph along x and y axis as shown below:

Fundamentals of Momentum, Heat and Mass Transfer, Chapter 7, Problem 7.1P , additional homework tip 2

For a large change in ∂vx∂y as compared to ∂vy∂x , the fluid element shown in the above figure deforms over the x axis and remains unaltered over the y axis. Therefore, the deformation is sketched as:

Fundamentals of Momentum, Heat and Mass Transfer, Chapter 7, Problem 7.1P , additional homework tip 3

(b)

Interpretation Introduction

Interpretation:

The fluid element deformation is to be sketched when ∂vy∂x is much larger than ∂vx∂y .

Concept Introduction:

Fluid element deformation occurs when the element changes its position with respect to its previous position. There are different types of deformation depending upon the aspect of change. These can be translation, rotation, angular, and volumetric deformations.

(b)

Expert Solution

Answer to Problem 7.1P

The fluid element deformation when ∂vy∂x is much larger than ∂vx∂y is sketched as:

Fundamentals of Momentum, Heat and Mass Transfer, Chapter 7, Problem 7.1P , additional homework tip 4

Explanation of Solution

Take a fluid element and plot it on a graph along x and y axis as shown below:

Fundamentals of Momentum, Heat and Mass Transfer, Chapter 7, Problem 7.1P , additional homework tip 5

For a large change in ∂vy∂x as compared to ∂vx∂y , the fluid element shown in the above figure deforms over the y axis and remains unaltered over the x axis. Therefore, the deformation is sketched as:

Fundamentals of Momentum, Heat and Mass Transfer, Chapter 7, Problem 7.1P , additional homework tip 6

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Answer 5

Chapter 7, Problem 7.1P

(a)

Interpretation Introduction

Interpretation:

The fluid element deformation is to be sketched when ∂vx∂y is much larger than ∂vy∂x .

Concept Introduction:

Fluid element deformation occurs when the element changes its position with respect to its previous position. There are different types of deformation depending upon the aspect of change. These can be translation, rotation, angular, and volumetric deformations.

(a)

Expert Solution

Answer to Problem 7.1P

The fluid element deformation when 1y ∂vx∂y is much larger than 13 ∂vy∂x is sketched as:

Fundamentals of Momentum, Heat and Mass Transfer, Chapter 7, Problem 7.1P , additional homework tip 1

Explanation of Solution

Take a fluid element and plot it on a graph along x and y axis as shown below:

Fundamentals of Momentum, Heat and Mass Transfer, Chapter 7, Problem 7.1P , additional homework tip 2

For a large change in ∂vx∂y as compared to ∂vy∂x , the fluid element shown in the above figure deforms over the x axis and remains unaltered over the y axis. Therefore, the deformation is sketched as:

Fundamentals of Momentum, Heat and Mass Transfer, Chapter 7, Problem 7.1P , additional homework tip 3

(b)

Interpretation Introduction

Interpretation:

The fluid element deformation is to be sketched when ∂vy∂x is much larger than ∂vx∂y .

Concept Introduction:

Fluid element deformation occurs when the element changes its position with respect to its previous position. There are different types of deformation depending upon the aspect of change. These can be translation, rotation, angular, and volumetric deformations.

(b)

Expert Solution

Answer to Problem 7.1P

The fluid element deformation when ∂vy∂x is much larger than ∂vx∂y is sketched as:

Fundamentals of Momentum, Heat and Mass Transfer, Chapter 7, Problem 7.1P , additional homework tip 4

Explanation of Solution

Take a fluid element and plot it on a graph along x and y axis as shown below:

Fundamentals of Momentum, Heat and Mass Transfer, Chapter 7, Problem 7.1P , additional homework tip 5

For a large change in ∂vy∂x as compared to ∂vx∂y , the fluid element shown in the above figure deforms over the y axis and remains unaltered over the x axis. Therefore, the deformation is sketched as:

Fundamentals of Momentum, Heat and Mass Transfer, Chapter 7, Problem 7.1P , additional homework tip 6

Answer 6

Chapter 7, Problem 7.1P

(a)

Interpretation Introduction

Interpretation:

The fluid element deformation is to be sketched when ∂vx∂y is much larger than ∂vy∂x .

Concept Introduction:

Fluid element deformation occurs when the element changes its position with respect to its previous position. There are different types of deformation depending upon the aspect of change. These can be translation, rotation, angular, and volumetric deformations.

(a)

Expert Solution

Answer to Problem 7.1P

The fluid element deformation when 1y ∂vx∂y is much larger than 13 ∂vy∂x is sketched as:

Fundamentals of Momentum, Heat and Mass Transfer, Chapter 7, Problem 7.1P , additional homework tip 1

Explanation of Solution

Take a fluid element and plot it on a graph along x and y axis as shown below:

Fundamentals of Momentum, Heat and Mass Transfer, Chapter 7, Problem 7.1P , additional homework tip 2

For a large change in ∂vx∂y as compared to ∂vy∂x , the fluid element shown in the above figure deforms over the x axis and remains unaltered over the y axis. Therefore, the deformation is sketched as:

Fundamentals of Momentum, Heat and Mass Transfer, Chapter 7, Problem 7.1P , additional homework tip 3

Answer 7

Chapter 7, Problem 7.1P

(a)

Interpretation Introduction

Interpretation:

The fluid element deformation is to be sketched when ∂vx∂y is much larger than ∂vy∂x .

Concept Introduction:

Fluid element deformation occurs when the element changes its position with respect to its previous position. There are different types of deformation depending upon the aspect of change. These can be translation, rotation, angular, and volumetric deformations.

Answer 8

(a)

Expert Solution

Answer to Problem 7.1P

The fluid element deformation when 1y ∂vx∂y is much larger than 13 ∂vy∂x is sketched as:

Fundamentals of Momentum, Heat and Mass Transfer, Chapter 7, Problem 7.1P , additional homework tip 1

Answer 9

(a)

Expert Solution

Answer 10

(a)

Expert Solution

Answer 11

Expert Solution

Answer 12

Explanation of Solution

Take a fluid element and plot it on a graph along x and y axis as shown below:

Fundamentals of Momentum, Heat and Mass Transfer, Chapter 7, Problem 7.1P , additional homework tip 2

For a large change in ∂vx∂y as compared to ∂vy∂x , the fluid element shown in the above figure deforms over the x axis and remains unaltered over the y axis. Therefore, the deformation is sketched as:

Fundamentals of Momentum, Heat and Mass Transfer, Chapter 7, Problem 7.1P , additional homework tip 3

Answer 13

(b)

Interpretation Introduction

Interpretation:

The fluid element deformation is to be sketched when ∂vy∂x is much larger than ∂vx∂y .

Concept Introduction:

Fluid element deformation occurs when the element changes its position with respect to its previous position. There are different types of deformation depending upon the aspect of change. These can be translation, rotation, angular, and volumetric deformations.

(b)

Expert Solution

Answer to Problem 7.1P

The fluid element deformation when ∂vy∂x is much larger than ∂vx∂y is sketched as:

Fundamentals of Momentum, Heat and Mass Transfer, Chapter 7, Problem 7.1P , additional homework tip 4

Explanation of Solution

Take a fluid element and plot it on a graph along x and y axis as shown below:

Fundamentals of Momentum, Heat and Mass Transfer, Chapter 7, Problem 7.1P , additional homework tip 5

For a large change in ∂vy∂x as compared to ∂vx∂y , the fluid element shown in the above figure deforms over the y axis and remains unaltered over the x axis. Therefore, the deformation is sketched as:

Fundamentals of Momentum, Heat and Mass Transfer, Chapter 7, Problem 7.1P , additional homework tip 6

Answer 14

(b)

Interpretation Introduction

Interpretation:

The fluid element deformation is to be sketched when ∂vy∂x is much larger than ∂vx∂y .

Concept Introduction:

Fluid element deformation occurs when the element changes its position with respect to its previous position. There are different types of deformation depending upon the aspect of change. These can be translation, rotation, angular, and volumetric deformations.

Answer 15

(b)

Expert Solution

Answer to Problem 7.1P

The fluid element deformation when ∂vy∂x is much larger than ∂vx∂y is sketched as:

Fundamentals of Momentum, Heat and Mass Transfer, Chapter 7, Problem 7.1P , additional homework tip 4

Answer 16

(b)

Expert Solution

Answer 17

(b)

Expert Solution

Answer 18

Expert Solution

Answer 19

Explanation of Solution

Take a fluid element and plot it on a graph along x and y axis as shown below:

Fundamentals of Momentum, Heat and Mass Transfer, Chapter 7, Problem 7.1P , additional homework tip 5

For a large change in ∂vy∂x as compared to ∂vx∂y , the fluid element shown in the above figure deforms over the y axis and remains unaltered over the x axis. Therefore, the deformation is sketched as:

Fundamentals of Momentum, Heat and Mass Transfer, Chapter 7, Problem 7.1P , additional homework tip 6

Answer 20

Ch. 7 - Prob. 7.1P Ch. 7 - Prob. 7.2P Ch. 7 - Prob. 7.3P Ch. 7 - Prob. 7.4P Ch. 7 - Prob. 7.5P Ch. 7 - Prob. 7.6P Ch. 7 - Prob. 7.7P Ch. 7 - Prob. 7.8P Ch. 7 - Prob. 7.9P Ch. 7 - Repeat the preceding problem for air.

Answer to Problem 7.1P

Explanation of Solution

Answer to Problem 7.1P

Explanation of Solution

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Chapter 7 Solutions