Rai Sajjad Saif , Tasawar Hayat , Rahmat Ellahi , Taseer Muhammad and Ahmed. Alsaedi. Department of Mathematics and Statistics, Faculty of Basic & AppliedĀ ...
Accepted Manuscript Stagnation-point flow of second grade nanofluid towards a nonlinear stretching surface with variable thickness Rai Sajjad Saif, Tasawar Hayat, Rahmat Ellahi, Taseer Muhammad, Ahmed Alsaedi PII: DOI: Reference:
S2211-3797(17)31031-8 http://dx.doi.org/10.1016/j.rinp.2017.07.062 RINP 835
To appear in:
Results in Physics
Please cite this article as: Saif, R.S., Hayat, T., Ellahi, R., Muhammad, T., Alsaedi, A., Stagnation-point flow of second grade nanofluid towards a nonlinear stretching surface with variable thickness, Results in Physics (2017), doi: http://dx.doi.org/10.1016/j.rinp.2017.07.062
This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain.
!
!
"
# $ % !
& & ' & (())) *
"
+&!, ' & (())) *
- ! !
.-!! / 0 "
# 1 !,, ' 2 34567 !
8 9 :; ; # $ ; $ = ;
; 8 ; $ ; ?
,; @ ; # ;
A A - A
A - A B
;
= ,
! ; D
; - !
! ; # ! . / ; #; 0 (
#; " ;
" > #;
; # ;
" $ " *
% $
;
" "
%$
; #
=
; # ; # ; & ; & ; " 44
" > ; ! ?
; D
(
!
" $ " C #$ * % $
# ; ; & " D ( ! " #$ % $ ; &
. / ; D;
$
; $ D; ? > ! " % $ ? " ! % $ , -
; & = -
" C #$ % $ ! 0 " $ " ; -
* ! *
> ; -
* ; # ! " #$
43
" " % $
#; * ( !
#; * (
#; * ( "
#; * (
#; * ( "
#; * ( "
4H
#; * (
#; * ( % $
#; * (
#; * (
#; *
( !
4(
#; *
(
#; *
( "
#; *
( "
#; *
( #$
#; *
(
#; *
( % $
45
#; *
(
#; *
(
? " #$ " ; !
"
% $
4I
- -
!
"
"
"
#$
% $ "
+,
4J
#
> =
;
D 9
! 0 "
D D;
&
"
$ " ; C D ;
% $ D;
? " ! % $
C -
"
C #$ % $
! 0 " $ " * C ! " #$ " " % $
; D D ";"; 0
" =
D ! @ 2;
;
;
; H63 .3)45/ 37IH)I; 47
L4HM ; ;
!; !
;; !
2;
;
;
; H65 .3)45/ 333337;
L4(M $;2; 0 ;;; 0 $;
>
"
*
2; - ( .3)45/ (J((6(; L45M F; C C; N O; N C;
0; 8
"
D D &; 2;
6( .3)45/ 7)H744;
L4IM !; 8 ; ! !; ; -" - = &; 2; -; L4JM ;
;&; 1
# # 35 .3)45/ (33(HJ;
; &, !; !
; E 2; L47M 1;C;
;
@
2; ! ; ; J7 .3)43/ )3(5)44)3(5)45; L(6M ;
;
; ! ; @
" > &; 2; -;
# # 3H .3)4H/ 445544I6; L(7M !; ";"; 0 ; ; -
>
2; ; * ; ; 6I .3)4H/ 434)434I; L5)M 1; " C; N
> 2>
D ; (( .3)4H/ (7H5)I; L54M
; ! ; !; ! & $ K
2;
; 3H .3)45/ (4)(45;
L53M ;2; C @ ! ;
; 8
; 4(J .3))(/ (7754H; L5HM
; " 2;
D !;
>