How to calculate force from source on a wall?
$begingroup$
I've got the following question I'm trying to answer, however I'm just not really sure where to start. I assume I need to find the pressure on the plate and then integrate over area to find the force, but I'm just not sure how to begin and couldn't find anything relevant through searching on Google etc. to help give me a start.
Thanks.
Question:
A line source of strength 2πm is located a distance a above a horizontal
plate that extends infinitely in both horizontal directions. Find
the force per unit width on the plate, ignoring gravity and taking the
pressure below the plate to be uniform and equal to the stagnation
pressure of the fluid. (You may find the substitution x = a tan θ useful
in evaluating any integrals which may arise)
physics fluid-dynamics
asked Dec 3 '18 at 14:46
AzanziAzanzi
92
$endgroup$
add a comment |
$begingroup$
I've got the following question I'm trying to answer, however I'm just not really sure where to start. I assume I need to find the pressure on the plate and then integrate over area to find the force, but I'm just not sure how to begin and couldn't find anything relevant through searching on Google etc. to help give me a start.
Thanks.
Question:
A line source of strength 2πm is located a distance a above a horizontal
plate that extends infinitely in both horizontal directions. Find
the force per unit width on the plate, ignoring gravity and taking the
pressure below the plate to be uniform and equal to the stagnation
pressure of the fluid. (You may find the substitution x = a tan θ useful
in evaluating any integrals which may arise)
physics fluid-dynamics
asked Dec 3 '18 at 14:46
AzanziAzanzi
92
$endgroup$
$begingroup$
Welcome to MSE. Your question is phrased as an isolated problem, without any further information or context. This does not match many users' quality standards, so it may attract downvotes, or be put on hold. To prevent that, please edit the question.
$endgroup$
– RRL
Dec 3 '18 at 17:38
1
$begingroup$
The description of the configuration is ambiguous. Is this potential flow or otherwise? Why is the pressure "below" an infinite plate relevant if the fluid is above? How would you solve the problem with a line source and no plate?
$endgroup$
– RRL
Dec 3 '18 at 17:40
add a comment |
$begingroup$
I've got the following question I'm trying to answer, however I'm just not really sure where to start. I assume I need to find the pressure on the plate and then integrate over area to find the force, but I'm just not sure how to begin and couldn't find anything relevant through searching on Google etc. to help give me a start.
Thanks.
Question:
A line source of strength 2πm is located a distance a above a horizontal
plate that extends infinitely in both horizontal directions. Find
the force per unit width on the plate, ignoring gravity and taking the
pressure below the plate to be uniform and equal to the stagnation
pressure of the fluid. (You may find the substitution x = a tan θ useful
in evaluating any integrals which may arise)
physics fluid-dynamics
asked Dec 3 '18 at 14:46
AzanziAzanzi
92
$endgroup$
I've got the following question I'm trying to answer, however I'm just not really sure where to start. I assume I need to find the pressure on the plate and then integrate over area to find the force, but I'm just not sure how to begin and couldn't find anything relevant through searching on Google etc. to help give me a start.
Thanks.
Question:
A line source of strength 2πm is located a distance a above a horizontal
plate that extends infinitely in both horizontal directions. Find
the force per unit width on the plate, ignoring gravity and taking the
pressure below the plate to be uniform and equal to the stagnation
pressure of the fluid. (You may find the substitution x = a tan θ useful
in evaluating any integrals which may arise)
physics fluid-dynamics
physics fluid-dynamics
asked Dec 3 '18 at 14:46
AzanziAzanzi
92
asked Dec 3 '18 at 14:46
AzanziAzanzi
92
asked Dec 3 '18 at 14:46
AzanziAzanzi
92
asked Dec 3 '18 at 14:46
AzanziAzanzi
92
asked Dec 3 '18 at 14:46
AzanziAzanzi
92
92
$begingroup$
Welcome to MSE. Your question is phrased as an isolated problem, without any further information or context. This does not match many users' quality standards, so it may attract downvotes, or be put on hold. To prevent that, please edit the question.
$endgroup$
– RRL
Dec 3 '18 at 17:38
1
$begingroup$
The description of the configuration is ambiguous. Is this potential flow or otherwise? Why is the pressure "below" an infinite plate relevant if the fluid is above? How would you solve the problem with a line source and no plate?
$endgroup$
– RRL
Dec 3 '18 at 17:40
add a comment |
$begingroup$
Welcome to MSE. Your question is phrased as an isolated problem, without any further information or context. This does not match many users' quality standards, so it may attract downvotes, or be put on hold. To prevent that, please edit the question.
$endgroup$
– RRL
Dec 3 '18 at 17:38
1
$begingroup$
The description of the configuration is ambiguous. Is this potential flow or otherwise? Why is the pressure "below" an infinite plate relevant if the fluid is above? How would you solve the problem with a line source and no plate?
$endgroup$
– RRL
Dec 3 '18 at 17:40
$begingroup$
Welcome to MSE. Your question is phrased as an isolated problem, without any further information or context. This does not match many users' quality standards, so it may attract downvotes, or be put on hold. To prevent that, please edit the question.
$endgroup$
– RRL
Dec 3 '18 at 17:38
$begingroup$
Welcome to MSE. Your question is phrased as an isolated problem, without any further information or context. This does not match many users' quality standards, so it may attract downvotes, or be put on hold. To prevent that, please edit the question.
$endgroup$
– RRL
Dec 3 '18 at 17:38
1
1
$begingroup$
The description of the configuration is ambiguous. Is this potential flow or otherwise? Why is the pressure "below" an infinite plate relevant if the fluid is above? How would you solve the problem with a line source and no plate?
$endgroup$
– RRL
Dec 3 '18 at 17:40
$begingroup$
The description of the configuration is ambiguous. Is this potential flow or otherwise? Why is the pressure "below" an infinite plate relevant if the fluid is above? How would you solve the problem with a line source and no plate?
$endgroup$
– RRL
Dec 3 '18 at 17:40
add a comment |
0
active
oldest
votes
Your Answer
StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");
StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});
function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});
}
});
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3024151%2fhow-to-calculate-force-from-source-on-a-wall%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
0
active
oldest
votes
0
active
oldest
votes
active
oldest
votes
active
oldest
votes
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3024151%2fhow-to-calculate-force-from-source-on-a-wall%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
$begingroup$
Welcome to MSE. Your question is phrased as an isolated problem, without any further information or context. This does not match many users' quality standards, so it may attract downvotes, or be put on hold. To prevent that, please edit the question.
$endgroup$
– RRL
Dec 3 '18 at 17:38
1
$begingroup$
The description of the configuration is ambiguous. Is this potential flow or otherwise? Why is the pressure "below" an infinite plate relevant if the fluid is above? How would you solve the problem with a line source and no plate?
$endgroup$
– RRL
Dec 3 '18 at 17:40