 viscos effect sound wave finit amplitud survei mechan viscos effect sound wave finit amplitud survei mechan articl subject conflict influenc sound propag convect hand diffus relax determin structur shock wave appreci clearli sir geoffrei taylor essenti introduct main topic author exception clear valuabl account physic mechan viscos thermal conduct diffus effect includ relax classic theori shock-wave format discuss extens remaind articl base demonstr nonlinear equat plane progress sound wave convect diffus account approxim transform burger's equat gener solut hopf cole approach flow continu discontinu shock wave limit viscos tend allow author re-deriv extend whitham's theori format decai weak plane shock wave deriv veloc distribut union shock wave format shock wave applic idea non-plane shock wave discuss case burger's equat good approxim articl conclud section sound wave reynold number base length scale flow veloc amplitud compar uniti effect relax properti shock wave survei repres substanti advanc theori sound wave finest tribut sir geoffrei taylor inspir articl volum 