What exactly are you trying to do? Generally, proportional depth of flow wouldn't be an issue in design, that is you are either designing at full or half-full (for which the velocity is the same in both cases, hence the equation's simple). If you truly need depth of flow for any other flow, I usually use the nomograph for partial flow in circular pipes (assuming of course you have circular pipes). This tool can be found in several places including the CE reference manual by Lindbergh and the Concrete Pipe design manual by ACPA. There's also someone who posted a spreadsheet recently under the spreadsheets forum that supposedly will get you close. I haven't tried it yet. In summary, there's no simple formula for what you've asked about, but it's generally not necessary for standard designs. Let me know if you need the nomograph, I could probably find one as a pdf.