The steady state temperature u ( r , θ ) in the plate is u ( r , θ ) = 1 2 − 1 34 r 2 cos ( 2 θ ) − 8 17 r − 2 cos ( 2 θ ) such that u ( 1 , θ ) = sin 2 θ , ∂ u ∂ r | r = 2 = 0 and 0 < θ < 2 π , 1 < r < 2 .

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Chapter 13, Problem 21RE

To determine

To show: The steady state temperature u(r,θ) in the plate is u(r,θ)=12−134r2cos(2θ)−817r−2cos(2θ) such that u(1,θ)=sin2θ, ∂u∂r|r=2=0 and 0<θ<2π, 1<r<2.

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Answer 2

Question

Chapter 13, Problem 21RE

To determine

To show: The steady state temperature u(r,θ) in the plate is u(r,θ)=12−134r2cos(2θ)−817r−2cos(2θ) such that u(1,θ)=sin2θ, ∂u∂r|r=2=0 and 0<θ<2π, 1<r<2.

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Answer 3

Question

Chapter 13, Problem 21RE

To determine

To show: The steady state temperature u(r,θ) in the plate is u(r,θ)=12−134r2cos(2θ)−817r−2cos(2θ) such that u(1,θ)=sin2θ, ∂u∂r|r=2=0 and 0<θ<2π, 1<r<2.

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Answer 4

Question

Chapter 13, Problem 21RE

To determine

To show: The steady state temperature u(r,θ) in the plate is u(r,θ)=12−134r2cos(2θ)−817r−2cos(2θ) such that u(1,θ)=sin2θ, ∂u∂r|r=2=0 and 0<θ<2π, 1<r<2.

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Answer 5

Chapter 13, Problem 21RE

To determine

To show: The steady state temperature u(r,θ) in the plate is u(r,θ)=12−134r2cos(2θ)−817r−2cos(2θ) such that u(1,θ)=sin2θ, ∂u∂r|r=2=0 and 0<θ<2π, 1<r<2.

Answer 6

Chapter 13, Problem 21RE

To determine

To show: The steady state temperature u(r,θ) in the plate is u(r,θ)=12−134r2cos(2θ)−817r−2cos(2θ) such that u(1,θ)=sin2θ, ∂u∂r|r=2=0 and 0<θ<2π, 1<r<2.

Answer 7

Chapter 13, Problem 21RE

To determine

To show: The steady state temperature u(r,θ) in the plate is u(r,θ)=12−134r2cos(2θ)−817r−2cos(2θ) such that u(1,θ)=sin2θ, ∂u∂r|r=2=0 and 0<θ<2π, 1<r<2.

Answer 8

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Answer 9

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Answer 10

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Answer 11

The steady state temperature u ( r , θ ) in the plate is u ( r , θ ) = 1 2 − 1 34 r 2 cos ( 2 θ ) − 8 17 r − 2 cos ( 2 θ ) such that u ( 1 , θ ) = sin 2 θ , ∂ u ∂ r | r = 2 = 0 and 0 < θ < 2 π , 1 < r < 2 .

Solution Summary: The author shows the steady state temperature u(r,theta ) in the plate.

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To show: The steady state temperature u(r,θ) in the plate is u(r,θ)=12−134r2cos(2θ)−817r−2cos(2θ) such that u(1,θ)=sin2θ, ∂u∂r|r=2=0 and 0<θ<2π, 1<r<2.

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Chapter 13 Solutions

The steady state temperature u ( r , θ ) in the plate is u ( r , θ ) = 1 2 − 1 34 r 2 cos ( 2 θ ) − 8 17 r − 2 cos ( 2 θ ) such that u ( 1 , θ ) = sin 2 θ , ∂ u ∂ r | r = 2 = 0 and 0 &lt; θ &lt; 2 π , 1 &lt; r &lt; 2 .

Solution Summary: The author shows the steady state temperature u(r,theta ) in the plate.

Videos

To show: The steady state temperature u(r,θ) in the plate is u(r,θ)=12−134r2cos(2θ)−817r−2cos(2θ) such that u(1,θ)=sin2θ, ∂u∂r|r=2=0 and 0<θ<2π, 1<r<2.

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Chapter 13 Solutions

The steady state temperature u ( r , θ ) in the plate is u ( r , θ ) = 1 2 − 1 34 r 2 cos ( 2 θ ) − 8 17 r − 2 cos ( 2 θ ) such that u ( 1 , θ ) = sin 2 θ , ∂ u ∂ r | r = 2 = 0 and 0 < θ < 2 π , 1 < r < 2 .