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I am looking for a way to maintain the temperature of a flow cell (made by two overlapped cover slips) while doing microscope observation. Is there any suggestion? Thanks.

I would suggest heating the perimeter of the area you need to view (assuming your coverslips are sitting on a glass slide).  Use a sensor mounted on the glass ( not on the heater) to control the temperature.  A custom polyimide insulated etched foil heater would allow the smaller scale you are suggesting that you need, it would even be possible to integrate a sensor with the heater.  Another possibility is blowing hot air onto the surface.  You could wrap a high power density heater around the end of an air tube, assuming the end could be metal or other higher temp material and your airflow volume and velocity were low enough.
 

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"A witty saying proves nothing."
-Voltaire

I'm looking on a similar problem. 

look at the spec of the flow cell first:

http://cu.imt.net/~mitbst/Flow_Cells.html

we talk about a slide and a cover slip, set in to a polycarbonate plate (that separates them to create a cell). on top of it lays a thin rubber gasket (on both sides) on top of witch an aluminum plate is screwed.  so under the microscope you have a glass sandwich, that contains one ml of water, tightly sealed. (exact dimensions of the flow channel:4.75 cmX1.27 cmX 0.16 cm.

I need to heat the liquid that flows in to the cell to 37 C so a certain chemical reaction will take place and effect the bacteria that grow within the cell.to do that i intend to heat the incoming tube that feeds the cell. the tube is made out of tygon, which to our purpose has the thermodynamic properties of plasticized PVC, with a heat transfer coefficient of 0.19. the pipe internal diameter is 0.64 mm and it's outer diameter is 0.91 mm. it is quite flexible. in order to keep the system clean and sterile, the pipe should be changed every experiment.the flow trough the pipe is 100 micro liters per minute 

so, I need a system that can heat the incoming liquid trough the pipe, to 37 C, and if possible the cell itself (trough the aluminum exterior). the length of the pipe will be set to fit the system. and the system should accommodate pipe replacement.

I would appreciate a good solution to the problem. bear in mind that my budget for this solution is low, I need only one system, and I work in Israel, so costume made extravaganzas are out of my range.

thank you very much

Nimrod.