Lin W.W.Lee D.J.2019-05-142019-05-14199700986445https://scholars.lib.ntu.edu.tw/handle/123456789/407891The diffusion-convection transport process in a branching fin with a power-law type transfer coefficient (h = a£Km) was investigated theoretically. The governing equations were formulated and the solution was obtained analytically. For systems with m> - 1, the steady-state distribution for the state variable £K was unique and stable. When the exponent becomes less than - 1, nevertheless, bistability occurs if the steady-state solution exists. Linear stability analysis shows that the lower branch solution on the fin efficiency/effectiveness versus branching number plot was stable, whereas the upper solution was unstable to small perturbations.AnalyticalBranching finStability analysisSteady-state solutionjournal article10.1080/009864497089365822-s2.0-0030643423https://www.scopus.com/inward/record.uri?eid=2-s2.0-0030643423&doi=10.1080%2f00986449708936582&partnerID=40&md5=bd2bb1ca7ef616742ac45e01110a4242