An unsteady motion of dusty memory fluid (governed by Walters liquid model B’) in horizontal channel with energy transfer has been carried out analytically. Both the channel walls are maintained at same fluidic temperature and concentration. The fluid flow inside the channel is guided by periodical pressure gradient. Viscosity helps to generate heat inside the system through energy dissipation. Dust particle’s motion is governed by Saffman model. Governing equations of motion are solved analytically using perturbation technique. The influence of various flow parameters on Sherwood number, Nusselt number and shearing stress are discussed with the aid of tables.

1.
D. H.
Michael
,
D. A.
Miller
,
Mathematika
,
13
(
1
),
97
109
(
1966
).
2.
G.
Rudinger
,
AIAA Journal
,
3
(
7
),
1217
1222
(
1965
).
3.
A. H.
Nayfeh
,
AIAAJournal
,
4
(
10
),
1868
1870
(
1966
).
4.
P. K.
Gupta
,
S. C.
Gupta
,
J. Appl. Math. Phys
,
27
(
1
),
119
125
(
1976
).
5.
K. K.
Singh
,
Indian J. Pure Appl. Math
,
8
(
9
),
1124
1131
(
1977
).
6.
C. B.
Singh
,
P. C.
Ram
,
Indian J. Pure Appl. Math
,
8
(
9
),
1022
1028
(
1977
).
7.
V. R.
Prasad
,
N. C. P.
Ramacharyulu
,
Def. Sci. J.
,
30
(
3
),
125
131
(
1979
).
8.
G. C.
Sharma
,
Int. J. Pure Appl. Math.
,
18
,
1131
(
1987
).
9.
R. K.
Gupta
,
K.
Gupta
,
Indian J Pure Appl. Math.
,
21
(
7
):
677
690
, (
1990
)
10.
Vajravelu
,
K.
and
Nayfeh
,
J.
,
Int.J. Nonlinear Mech.
,
27
,
937
945
(
1992
).
11.
C.S.
Bagewadi
and
B.J.
Gireesha
,
Tensor N.S.
,
64
,
232
240
, (
2003
).
12.
S. O.
Ajadi
(
2005
),
J Appl Math and Computing
,
18
,
393
403
(2005).
13.
G.
Alle
,
A. S.
Roy
,
S.
Kalyane
,
R. M.
Sonth
,
Advances in Pure Math
,
1
(
4
),
187
192
(
2011
).
14.
H. A.
Attia
,
A. M. A.
Al-Kaisy
,
K. M.
Ewis
,
Tamkang J Sci. Engg
,
14
(
2
),
91
96
(
2011
).
15.
B.J.
Gireesha
,
G.S.
Roopa
,
C.S.
Bagewadi
App. Math.
,
3
,
726
735
(
2011
).
16.
B.
Kalita
,
Appl Math Sci.
,
6
(
76
),
3759
3767
(
2012
).
17.
G.K.
Ramesh
,
B.J.
Gireesh
,
C.S.
Bagewadi
,
Adv. Math. Phy
,
2012
,
657805
(
1-13
), (
2012
).
18.
B.J.
Gireesha
,
A.J.
Chamakha
,
S.
Manjunatha
and
C.S.
Bagewadi
,
Int. J. Num. Methods Heat Fluid flow
,
23
.
598
612
, (
2013
).
19.
D.
Dey
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences
,
86
(
1
),
47
56
(
2016
).
20.
B.
Deka
and
R.
Choudhury
,
Int. J. Heat Tech.
36
,
325
331
(
2018
).
21.
R.
Choudhury
and
B.
Das
,
Int. J. Heat and Tech.
34
,
332
338
(
2016
).
22.
R.
Choudhury
and
B.
Deka
,
Int. J. Engg. Tech.
9
(
3
):
1981
1991
, (
2017
)
23.
R.
Choudhury
R and
B.
Dey
,
Global J Pure App. Math.
13
(
9
):
5687
5702
(
2017
).
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