Define
a) Steady state temperature defenation
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2
Explanation:
Now in heat transfer steady state means the temperature of the body does not vary with time . Amount of heat enters from one side of the body the same amount of heat leaves the body from other side to maintain the temperature constant or steady.
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In systems theory, a system or a process is in a steady state if the variables (called state variables) which define the behavior of the system or the process are unchanging in time.[1] In continuous time, this means that for those properties p of the system, the partial derivative with respect to time is zero and remains so:
∂
p
∂
t
=
0
for all
t
.
{\displaystyle {\frac {\partial p}{\partial t}}=0\quad {\text{for all }}t.}
In discrete time, it means that the first difference of each property is zero and remains so:
p
t
−
p
t
−
1
=
0
for all
t
.
{\displaystyle p_{t}-p_{t-1}=0\quad {\text{for all }}t.}
The concept of a steady state has relevance in many fields, in particular thermodynamics, economics, and engineering. If a system is in a steady state, then the recently observed behavior of the system will continue into the future.[1] In stochastic systems, the probabilities that various states will be repeated will remain constant. See for example Linear difference equation#Conversion to homogeneous form for the derivation of the steady state.
In many systems, a steady state is not achieved until some time after the system is started or initiated. This initial situation is often identified as a transient state, start-up or warm-up period.[1] For example, while the flow of fluid through a tube or electricity through a network could be in a steady state because there is a constant flow of fluid or electricity, a tank being drained or filled with fluid is a system in transient state, because its volume of fluid changes with time.
Often, a steady state is approached asymptotically. An unstable system is one that diverges from the steady state. See for example Linear difference equation#Stability.
In chemistry, a steady state is a more general situation than dynamic equilibrium. While a dynamic equilibrium occurs when two or more reversible processes occur at the same rate, and such a system can be said to be in a steady state, a system that is in a steady state may not necessarily be in a state of dynamic equilibrium, because some of the processes involved are not reversible.
∂
p
∂
t
=
0
for all
t
.
{\displaystyle {\frac {\partial p}{\partial t}}=0\quad {\text{for all }}t.}
In discrete time, it means that the first difference of each property is zero and remains so:
p
t
−
p
t
−
1
=
0
for all
t
.
{\displaystyle p_{t}-p_{t-1}=0\quad {\text{for all }}t.}
The concept of a steady state has relevance in many fields, in particular thermodynamics, economics, and engineering. If a system is in a steady state, then the recently observed behavior of the system will continue into the future.[1] In stochastic systems, the probabilities that various states will be repeated will remain constant. See for example Linear difference equation#Conversion to homogeneous form for the derivation of the steady state.
In many systems, a steady state is not achieved until some time after the system is started or initiated. This initial situation is often identified as a transient state, start-up or warm-up period.[1] For example, while the flow of fluid through a tube or electricity through a network could be in a steady state because there is a constant flow of fluid or electricity, a tank being drained or filled with fluid is a system in transient state, because its volume of fluid changes with time.
Often, a steady state is approached asymptotically. An unstable system is one that diverges from the steady state. See for example Linear difference equation#Stability.
In chemistry, a steady state is a more general situation than dynamic equilibrium. While a dynamic equilibrium occurs when two or more reversible processes occur at the same rate, and such a system can be said to be in a steady state, a system that is in a steady state may not necessarily be in a state of dynamic equilibrium, because some of the processes involved are not reversible.
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