Well, if you have installed chrome on your machine and safari is not installed then you can use $.browser.safari to detect chrome. As both the browsers are fully based on webkit. webkit is one of the flag of $.browser property. It will be true for safari and chrome. But that's not a proper way to detect chrome.
Well, you need to alter the $.browser utility to support chrome. I found a good article about detecting chrome using jQuery. Visit here.
Feel free to contact me for any help related to jQuery. I will gladly help you.