No one can know exactly when your funds would be deposited. There are
too many variables including differences in bank processing times once
the IRS sends the funds.
The IRS says 9 out of 10 filers who
efile and choose direct deposit
will get their refunds within 21 days.
Some returns take longer for additional
processing due to specific items in the return. Some are pulled at
random for more thorough investigation.
Once efiled, wait 24 hours after acceptance, then you can start to monitor it with this IRS tool:
http://www.irs.gov/Refunds
NOTE: If you choose to pay any TurboTax fees out of your Federal refund,
that is another link in the chain, since your funds go first from the
IRS to an intermediary bank where the fees are subtracted. Then that
intermediary bank sends the rest of the funds to your bank in a second
direct deposit.