Why does my nose burn on high altitudes?

I am 46 years, male single. I have complaints of bronchitis. I often suffer from cold and cough. I am in excellent health, I am about 5'6" in height, weighing about 71 kgs. I am also having border line diabetes. My blood sugar is about 100, PP about 140. I also go for long brisk walks, and practice yoga exercises every day. I am having normal blood pressure. My main problem is that while flying on high altitudes, I feel burning inside my nostrils, which at times makes breathing very difficult. I have to put wet tissue on my nostril to find quick relief.