I would recommend considering the pump rate [gpm], wellbore quality (caliper log) as well as 3D wellbore survey. Mud weight and general wellbore stability may drive the size and shape of cuttings and chips. The transport model may be ROP dependent. More cuttings per hour - more problems with transport over pipe connections when your mud pumps start/stop.
Md. Al Amin Are you considering any specific trajectory well?
In my opinion, BHA, Flow rate, RPM, Viscosity, ROP and Hole size plays a major role. There are standard guidelines on hydraulics for a specific hole size.
Refer following for details :
Article Review on hole cleaning for horizontal wells
Article An effective approach to keeping the hole clean in high-angle wells
For a very simple model the above suggestions are very good, perhaps you can look at Stokes law for a physical definition of particle transport. However, if you want to include drilling parameters such as ROP and RPM then you will need something more sophisticated as flow patterns and velocities (both radial and tangential) need to be considered. Check out Chin W. book "Borehole Flow Modelling" from Gulf Publishing for a very good modelling process. I hope it helps
Yield point plays a major role in cuttings transport for several non-Newtonian drilling fluids (Bingham plastic, Herschel-Buckley, etc.), increasing the mud's carrying capacity in the borehole annulus. However, I do not know if this is applicable to your case here as you are dealing with a WBM.
Another very important factor is the size of the cuttings, there are various studies related to this. We use a model (SizeCUT) developed for Norway (Bryden & Carles) that allows determination of the cuttings sizes as a function of a number of drilling parameters(MW, ROP....). It allows you to generate a "S" shape type of curve for the various cutting sizes generated during drilling.