Maybe not exactly what you are looking for but somehow related.
"Refuelling with One Engine Running" is the name of a supplementary procedure that I have found in the QRH of an operator using 737.
Hope it helps.
General
Refueling with one engine running is permitted only on such airports where no ground start equipment is available and the inoperative APU cannot be repaired with existing facilities.
A detailed briefing is required with cabin crew by the commander.
Procedure
The following procedure shall be applied:
• The airplane shall be positioned into the wind.
• Passengers must be disembarked.
• The airport fire department must be alerted to standby at the airplane during the entire refuelling procedure.
• A fueling pressure of 30 psi at the fueling receptacle should not be exceeded.
• Filling of the fuel tanks shall be discontinued before automatic top-off is engaged, to ensure that no fuel can spill out of the vent outlets.
The following figures represent approximate amounts of usable fuels:
* Usable fuel at level attitude, fuel density=0.8029 kilograms per liter
Note: Fuel density must be between 0.7549 to 0.8507 kg/liter for B 737-800.
• Fuel hoses should be laid out using the shortest route, however as remote as possible from the running engine.
• Refueling operation should only be commenced after having ensured that the permanent control of the emergency fuel shutoff device during the entire fueling
operation is performed by the fueling company.
• Engines may not be started or shut down and no attempt to start the inoperative APU should be made before the fueling operation is terminated and all fuelling
equipment has been disconnected and the fuel truck has been removed to a safe distance from the airplane.
• During the entire fueling operation one crew member has to be present in the cockpit monitoring the fueling gages and one person has to be present at the fuelling station to operate the fueling valve switches manually.
• Fueling shall be performed in the following sequence:
1. Engine No.2 running for convenience of disembarkation of passengers.
2. Start engine No.1 by cross start and shut down engine No.2
3. Refuel with engine No.1 running
4. After refueling operation has been completed disconnect hose from fueling station and position fuel truck or dispenser in safe distance from the airplane.
5. Start engine No.2 by cross-start and shut down engine No.1 for convenience of boarding passengers.
6. Start engine No.1 by cross-start.
• In addition, the fuel suppliers' regulations and procedures shall strictly be adhered to.