This model implements a very simple proxy for vertical dispersion of heat in a lake based on the equation:

dT/dt = 1/A d(EA)/dz (dT/dz)

where: T: temperature (oC); t: time (days); z: depth (m); A: cross-sectional area (m2); E: vertical dispersion coefficient (m2 d-1)

If we consider that E is constant (it is in this model), then the equation becomes dT/dt = (EA/A)(d^2T/dz^2) = E(d^2T/dz^2), the classic diffusion equation

The model is simplified by exchanging temperature as a state variable, rather than executing  the full heat balance. This would require a computation of fluxes of atmospheric longwave and shortwave radiation, water longwave radiation, water conduction and convection, and water evaporation and condensation.

The vertical dispersion coefficients are adjusted artificially so that mixing increases at lower temperatures, thus quickly homogenizing the water column in colder months of the year.

Here's a tentative model for my house's heating system. It's not complete yet, and I had to put the "furnace efficiency" variable to avoid the house to heat up to 70°C! Any idea why?

The seasons are related to the tilt of the earth.  Temperatures are higher in the summer because, viewed from the surface, the sun is higher (over the horizon) in the sky in the summer months than it is in the winter months.  Why is this not true for any given day? Why is the hottest part of any given day NOT when the sun is highest in the sky?  [Data from a summer day in Austin, Texas in the US].

The seasons are related to the tilt of the earth.  Temperatures are higher in the summer because, viewed from the surface, the sun is higher (over the horizon) in the sky in the summer months than it is in the winter months.  Why is this not true for any given day? Why is the hottest part of any given day NOT when the sun is highest in the sky?  [Data from a summer day in Austin, Texas in the US].

The seasons are related to the tilt of the earth.  Temperatures are higher in the summer because, viewed from the surface, the sun is higher (over the horizon) in the sky in the summer months than it is in the winter months.  Why is this not true for any given day? Why is the hottest part of any given day NOT when the sun is highest in the sky?  [Data from a summer day in Austin, Texas in the US].

Originally taken from https://insightmaker.com/user/46

Adapted the heating system with a regulator, so that deeper outside temperatures lead to higher furnace settings
In the end furnace efficiency could be kept at 1

This models heat losses during anesthesia.  It includes radiation losses from each limb which includes the entire distal limb (Forearm/Hand, Calf/Foot) and half of the proximal limbs as these are not as vasodilated as the distal limbs.

Insulating the limbs keeps heat from being lost.

RC?

This models heat losses during anesthesia.  It includes radiation losses from each limb which includes the entire distal limb (Forearm/Hand, Calf/Foot) and half of the proximal limbs as these are not as vasodilated as the distal limbs.

Insulating the limbs keeps heat from being lost.

Here's a tentative model for my house's heating system. It's not complete yet, and I had to put the "furnace efficiency" variable to avoid the house to heat up to 70°C! Any idea why?

Here's a tentative model for my house's heating system. It's not complete yet, and I had to put the "furnace efficiency" variable to avoid the house to heat up to 70°C! Any idea why?