id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-4751	Aziz, Maysoon	Mathematical Model for the Effect of Buoyancy Forces on the Stability of a Fluid Flow	2023	14	.pdf	application/pdf	3606	155	75	1 cos (2S1) B4 = 1 32 S−5 1 1 1− 2 sin2 (2S1) F AE (−32S1A3A4 − 32S1A4A5 − 12S1A2A5 − 12S1A2A3 + 56 S1A3A5 + 4S1A3A5 −8S3 1A2A4 − 8S3 1A4A5 ) + ( 2S1A 2 2 − 60S3 1A 2 4 + 56 3 S3 1A 2 3 + 16S2 1A 2 4 −4S−1 1 A2 5 + 8S3 1A2A5 + 16S2 1A3A4+ 8S1A 2 5 − 16S1A2A5 ) sin (2S1) (16S1A2A5+ 136 3 S2 1A3A4 − 12A2A5 + 8A2 5 ) cos (2S1) + (64S1A3A4 − 48 S1A4A5 − 16S1A2A5 + 24S1 A2A3 + 72S1A3A5 + 16S1A3A5) sin 2 (2S1) + (76S1A4A5 − 126S1A3A4− 140S1A2A4 + 44 A3A5 − 44A4A5 + 6S1A3A5 + 64S3 1A3A4 − 16S3 1A2A3 ) sin (2S1) cos (2S1)− ( 232 3 S3 1A 2 4 − 136 3 S3 1A 2 3 − 96S2 1A 2 4 + 48S1A3A5 sin 2 (2S1) cos 2 (2S1) + (144S1A2A4 − 72S1A3A4+ 144S1A4A5+ 36A4A5 − 36A3A5) sin 3 (2S1) cos (2S1) ] . B2 = −B4 sin (2S1)− 1 8S F AE [ −4 3 A2A5 − ( 8A3A4 − 4S−1 1 A2A4− 2A2A3 − S−1 1 A2A5 cos (2S1) +A4A5 sin (2S1)− (A2A5 + 4S1A3A4+ 5−1A2A5 ) sin2 (2S1) + 10 3 A3A4 sin (2S1) cos (2S1) + ( 2S−1 1 A3A4+ 4S−1A4A5 + 2S−1A3A5 ) sin (2S1) cos 2 (2S1)+ 2S−1 1 A4A5 sin 2 (2S1) cos (2S1) ] M. M. Aziz / Eur.	cache/ejpam-4751.pdf	txt/ejpam-4751.txt