TY  - JOUR
VL  - 198
UR  - https://www.scopus.com/inward/record.uri?eid=2-s2.0-80051930837&doi=10.1080%2f00986445.2011.565526&partnerID=40&md5=f18e54b1f6c785780d031aacfc25ec57
A1  - Bég, O.A.
A1  - Ghosh, S.K.
A1  - Narahari, M.
A1  - Bég, T.A.
JF  - Chemical Engineering Communications
Y1  - 2011///
KW  - Grashof; Inclined planes; Radiation parameters; Solar energy collectors; Thermal radiations; Transient flow
KW  -  Grashof number; Heat radiation; Laplace transforms; Machinery; Natural convection; Pressure gradient; Solar collectors; Solar energy; Solar radiation
KW  -  Radiation effects
ID  - scholars1799
IS  - 12
N2  - We study theoretically the unsteady gravity-driven thermal convection flow of a viscous incompressible absorbing-emitting gray gas along an inclined plane in the presence of a pressure gradient and significant thermal radiation effects. The Rosseland diffusion flux model is employed to simulate thermal radiation effects. The momentum and energy conservation equations are nondimensionalized and solved exactly using the Laplace transform technique. Expressions are derived for the frictional shearing stress at the inclined plane surface and also the critical Grashof number. The effects of time (T), Grashof number (Gr), Boltzmann- Rosseland radiation parameter (K1), and plate inclination (α) on velocity (u) and temperature (θ) distributions are studied. The flow is found to be accelerated with increasing inclination of the plane, increasing free convection effects, and for greater thermal radiation contribution but decelerated with progression of time. Temperature is found to be enhanced with progression of time and with greater thermal radiation contribution. Applications of the model arise in solar energy collector analysis and industrial materials processing. © Taylor & Francis Group, LLC.
EP  - 1644
SN  - 00986445
SP  - 1630
TI  - Mathematical modeling of thermal radiation effects on transient gravity-driven optically thick gray convection flow along an inclined plane with pressure gradient
N1  - cited By 11
AV  - none
ER  -