I'm 5 weeks post rhinoplasty and the swelling is fluctuating. Is this normal?

Dear RakhidFluctuation in swelling in the first 3 months is normal. It becomes less so as time goes on. Avoid direct sun and wear sunblock even on cloudy days.

Dear rakhid,This is normal. It
actually takes up to one full year for the nose to completely heal, but around
three to four months after the surgery the changes will be the most
obvious. Up through the four- month mark
the nasal structure will be fragile as it mends and heals. It is for this reason that all contact
sports, diving, and other potentially dangerous activities should be
avoided. After all the effort related to
your nasal surgery, you certainly do not want to undo the good work that has
been done.Remain patient, follow your surgeon's instructions for a careful recovery and schedule a follow-up visit with your surgeon for an opportunity to voice your concerns.Sincerely,Ross A. Clevens, MD, FACS

This is completely normal.  The nose can swell after rhinoplasty for weeks to months, and the final appearance will take up to 1 year.  Be patient and you will slowly begin to see the results that you're hoping for.  Good luck!